{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
UCGIS I-GUIDE Community Champion Project
\n", "\n", "\n", "# 2020 Census and Differential Privacy\n", "Yue Lin, The Ohio State University\n", "\n", "Census data are one of the largest public data sources in the United States, which contain detailed demographic information and have widely been used to redraw voting districts, direct federal funding, and inform policymaking and research. [Title 13 of the United States Code](https://www.census.gov/history/www/reference/privacy_confidentiality/title_13_us_code.html#:~:text=People%20sworn%20to%20uphold%20Title,is%20a%20serious%20federal%20crime) states that federal agencies are not permitted to release personally identifiable information from the census. However, this becomes increasingly challenging because the advances in computing power and the availability of commercial data sets have made it easier to link ostensibly anonymized census data to specific individuals. \n", "\n", "To enhance individual privacy protection in the 2020 Census, the Census Bureau established a privacy protection system based on a mathematical concept known as [differential privacy](https://en.wikipedia.org/wiki/Differential_privacy)[1](#fn1). Developed at Microsoft Research, differential privacy has become the gold standard for data privacy in various applications from both private and public sectors. This notebook describes the use of differential privacy for census data as well as how it will affect the census data.\n", "\n", "**Related Topics in GIS&T Body of Knowledge:** [United States Census Data](https://doi.org/10.22224/gistbok/2019.1.8), [Location Privacy](http://dx.doi.org/10.22224/gistbok/2016.3.2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Notebook Outline\n", "- [Differential Privacy for Census Data](#sec1)\n", "- [How will Differential Privacy Affect the Utility of Census Data?](#sec2)\n", "- [Additional Resources](#sec3)\n", "- [References](#ref)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Differential Privacy for Census Data\n", "Differential privacy seeks to conceal the presence or absence of any individual (or small groups of individuals) in a database while preserving statistical utility. A general way to achieve differential privacy is to add “noise” to the collected data. In the 2020 United States Census, statistical noise is sampled from a Gaussian distribution and added to census data at each geographical level (from the nation, to states, down to census blocks). The amount of statistical noise added is controlled by a “privacy loss budget”, which defines the maximum amount of privacy loss that can occur upon the release of census data. As the privacy loss budget increases, the added noise decreases, implying that the census data will be more accurate, but the likelihood of private information being exploited using the census data also increases.\n", "\n", "\n", "\n", "Source: [Disclosure Avoidance for the 2020 Census: An Introduction.](https://www2.census.gov/library/publications/decennial/2020/2020-census-disclosure-avoidance-handbook.pdf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## How will Differential Privacy Affect the Utility of Census Data?\n", "\n", "Because differential privacy requires adding statistical noise to census data to protect privacy, it is natural to wonder how the use of the privacy protection system may affect the utility of census data. In the years 2020 and 2021, the Census Bureau released a set of [demonstration data](https://www.census.gov/programs-surveys/decennial-census/decade/2020/planning-management/process/disclosure-avoidance/2020-das-development.html) to help users explore the impact of differential privacy on the utility and accuracy of census data. The demonstration data are a differentially private version of the 2010 Census data. To facilitate comparisons, the demonstration data are linked to the original 2010 Census Summary File 1 to form the [IPUMS NHGIS Privacy-Protected 2010 Census Demonstration Data](https://www.nhgis.org/privacy-protected-2010-census-demonstration-data) product. We retrieve this data product to demonstrate the impact of differential privacy at different geographic levels in this notebook.\n", "\n", "Using the original 2010 Census Summary File 1 data, the code below generates maps of the percentage of Black or African Americans at the block group level in Ohio." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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EXRgHJUUzu1jJw5OYtRRUN6MO3GrwSp5pTmJvNDYG8WyQVuFbqD+Fr1gT3iSbNGNS0sOpnftY7G6dwLWMRSbVEngFmIvRvidxV3LzbsZXtX8E/CuSC/iTgEPnZlUU8W+dOHTihucOXywqD97El+7fVblmVd+Qwa3ygi1fM2MgeSQO4ZpZxHmF1yQeB74v6ctm9iQeC1MGw5UeqpnynmZ20vwdGb6QlPigbuLddJmky4HPgoAocNsQvKpPL3Zw5ZVzHR4EtR1/sQCY8QLQJy0Qm6/hEY3j5qvCORbzDY8Db+E8xQgwIzRgWDRjFFhXr4QX8IFzIgTGJD1ipqPAYUm7zDhvRj/idJD6QqYmMCBxPXAWNAOsNmMPsF9ysjW6hnSdmR3E6xp+CfdgdON+4CDOY1xGSJrZOYndoHPAlBnvgPXhAuEmSb8J/N0UOPWb9ZyDV+jPjxx//6l3828+d+IX2hfOPmbTE2uePXCysL5V1cm5NjtW17PNq2pzMdobwIUsyHBNswoLSVVNXLjfir/Tn/d9Zxd2qkZSGTdhGA3DJtO5Y3TI8B/gQjkCq3qaOU0noO9iSgl/3ty0gxUNYgFXS4PojXnoxhXtObmPZwPwNos9H8JVyBK3AVtBp+QCYCk3aqATTPWKxB6MJ8tsvixoixm7gtksxgTi64mQGjJf4dcADXnc/xqh5yU+Z2aXgDsktgP7fKwyjZOuJUdSx1e3C7DgtTkjsYaO5nQLfp+FoC8ze83gjOCLwNNmdr3Bavk1nkY8IXjGzNan6/yCpJfn2rz1YXo0Zlt2LcYDwAv9VR39oOf9ta+9vT0P+t3tG/pH/8W/f2uCxmR78Jpr8i999UG77+ZNxe71A/NbVvXF+Vb7zfHZZr5tzcBmgBjtVSCXdFFQS2TlBZL7ux2tgXsuzgKtHC0QiYbVrLNYlG7zU4IvdDVtUZh7Jg1K6gMwszWSHveL2SSLx92HC7GcIVk/Fn5iAZEIuIjn3eeJ3Z8ATkjciq8Op/EV9Da8S97AV4jXce0hAo+ZcRZfPfbgg2QRUlWgbbz/SwwAQfQpsHqglr0Gul6ijgfD3Cr0ZhYWYvDLYqbHUzsxbCrxBkFOMA7jjHqpvazHV703l7j/OlxbGCdFchq2Nz37UKsdvxuNkEmjCgxlUtWMnzJv213JlApJ+tyTzvsW8Gt9+YfDRcw2rW7wh8z4EyGwBheCf3G2ZXuD9K+Ad7qF0mzTKu3CNjSLOLZ+MJ/f+/bYw7n49fVVTu5943ik2cr+5t/41bB57ZD9wdvn27PNmA33VesKagUFbRisVXFTAnwcRjNbA9Ywz3ot5OTNaZwjiN4dTOMu77Itl8xsgo5rPAPGQK3yM4lx/B1n6bMpw/x4YYZFIUureeQ9FrWrCaHPjAZRALMpUWaIzmq6veu4w2Z2XFJL4k5gg6vSi6r5bMFX/zfSdZOdzywd27LMtcjNC3uEdGyDDpE348k8mgpBAgozj+FPXMF4evYx3Ba+KPFVOiomKUZhHX5DydXUGs633GjG93G7OcMDpWpyDoZEuv4cLgBHzWwUN4MAqOQBjLNm1kp1EtM97TrgDG6qbZVEu4gTlSwckXRr6o+riul5W20W/6xgT4R1QnfEqFGJirzfbzHjXwNHZps2ipg1Y3WrXQwW0YoLE3N2+EKrWc21pi+2j/7uv3mm//DRc7PEpv7pv/l+/Md/85fC/3jTLdVKyNqDtXyuVdAXclZVskySHkvcwjDuGicao0VkPfB6JeOWoJAHEcHGzYVyG+x6SSdwreKM2WIvEr6IlFqGBS2ORzFMuMZYYorFOTXLFroYwqc/WSsCL+Nq3G10xcUnGPBkjGYGxwI8LrnKNzI115prxtE802h/LR/pr2a1PGhQ0iM91zjO0vkOe+maeEugrK0QJR4342VcGziHb6CyDw/capgt1AUoJEJSdZ9M2X7zS1y7ks59Sqg0bUoupnS5vdcej/OSdgGY2dloHDZYL7ho7rE5NzPfPjQ9V1g1l60fqm2R9D/hFal+Yhwfnf389HzxZ6uZ6msGa+vzLHwBqLfaxfMhqFnLw1YFDbfa8QUzLgSpEgIbMdUxmzIzKyIhWmRkupmvqmWzP3vrNbZz8LHw9YMX4re/8WLt7JET8//D3/u37f/6P/s5DQ/Us9W1Sn2gnle2rutvRrMscQvQEfAFRgsnFaejcUZmZxSYx5hFrMPIDA6A1dPqu9Rq3+3y7I22bHN5ZG6r67viCtf8UPBZ0CDAC2+AR/7djbPvTTw9GlwofEOwS+JU+p4YqRRm64u2rZ9vN3dfnIHV/ZV9awYui1W50gvr7t29+ApTRtRBh/Vv4JP3ksQmM+7DicQyy7Iv/XQuLG1JFz9Fqn5sxjTwXLreLcAfCG0H3gQ7Z7DFjLfNOIKz60ZnsJ7BNSrhkaMT0ZhP991ByjHoetBTwK5o9vbRkdnRZ46Pbvv527b+x3NtvV7P+ddX6I/3xch0OxuZnPtzF2ebj0/Pt6wNqzU+O3TfjtWHK1l2u8GOSgj7UxToxkoehDEboylIdcPmYrTMkGYbzeah89N257bV62MsJsam29xx/ZaiUamH0Ysz7ad/76xef/VI8Rf+h39W2XnHrX0j07b6j3/+2rG//sf2ZNW+0N8q7EjuhPGusv9DUCUPWmNG1cx2SNpReJnqffL3dRgYjYYycRo4lwU1gOkiWslBtLreZ/fYeRGP+l007gVP41zYfPKcLM+s/SxwELj0b+EvYgNuww8DmdmC+TCBuzFvTsePAybRxMnJ0u4zuV1arualSbEoGCtl5rWAWfB9DiRqdPIdSpQC4g680vFGvFoRAEW0/UDDzC4KrjE0LKhlmbrLx43jdu9pXEt6MH1+AqhIrhqbr3zl85aJRiUO4kRktyv3cLruLCxUuJ7KgtYIVjVa8ZKh82cmG+3V/bmyvP/ViF0T0L9qtGyXwa/3V7SUZrOARottuD1fAS7ONtvbgZ+u5dmejYO11zcN1QfGZuenrxnum46RUTJur2R6Mws8IfE6cA5D0QwFWWE2F6DdKuLAgXNTM2trufKgynBfZV5UYr1a2HB/tb5zbf+jM3Pt70weO1k/8PYpazVa8fDB4wN9/fVzF0dXD3iCm76Cm4SDuCl2HtfUmqn5s5JSESlIxxWIIkifM7PvALslFYIdZtbNWXWP60gnGbB3z81ngWgwIOw+SeVxK16MhJ9YQKTnKxOUPgeQ7P0v9hz6BToq/WHghk2r6l/GX+B50gqKBzv1Br58F7hgRoGn5pY8xwRYf5A24hP4BE5gXsJJrwlgr6R7cU/La90XjWY7zGxI8KykGxvNYhB4e6hvUbdswM2m8trP4UJiBx7xCXhABCm0Wq49PIULlDlzorJbOBSSLlUzLSpBZ8ZL6bi3+6v5V4oY996zfc3jrSL+XgjaZZGpiD0l8Rcx7pht2m/2V/VUT1+V1Z//BG6LpwQzGwa2ZOKHawcrB5vtglqe1/sqIeSVrF0UMW+149frldBn6GmMUcFRc5OLVrvIollotKzVX81+L8/C9euHag+uHapNV/LQEigLIhOqVrMXn7h9U+W2zX907vf3nwr/3753YmzFsYHhgeHtN2zPENZotr893Fe57+Sl2blaJezYMFCL0ReUF4l8P3kWIqAQELAt1YbIcI9HHz5+y5cV8qBjwA4z8hQeH5PgfqGni+aBQnCDpA3RA/BeUSeUf1lm7dUmKSX9DPAbeB/9EzP7uz3fr8KLJe/A++3Xzeyfvdc1r4YGsRTLcqWnLpeD7nMCvG967U7gBrC9KV36Et6/O/H08Y34y22zOEjpBYO2Okk4W2O0r5MIqiDd0yrshwZUswUtpdecOYoLhBsknjXjbtycAV/tTuPRo5O4EHpuwW0GmNnXgDNBrDXjVcS04C5JSyUGtdKzLepTSVWMExGryPQEhgXncf676fn4M1nQdyUdBNaZ8ZeBr0ocTGPP/LraUq+EM0LjCKtVsiGMh61eeb6INj0y3RzYvKrvPOgRXAP8t0C/wKLRqmQhj9jGSzPNfxCwC7duGnogDxpvNIv+LGgmIGKwehbCPHDvjrUDR1Bo3rBt1cgTj99Uu2nzYPza08en+yphdRFtV5AOzrWKvav7KkRjHWhK2H7rPHv5u6ATK3ElNCU16JDM0/L+npSYAh5Onz8F0CVoynFaAPea2aik5Q2Uukqh1kn7+U3gK7h5+qKk3zezbi/bXwLeNLOfl7QBeFvSv051WJbEh5WL8X7o7ZUJOh6PpXqs+x5TQEALkXSGx+eP4VmSZ/Cw3V3AlHwgvIgLiT6JqtlCMM1Enml0vllMjjWKsb5q/seA7VON9uu1Spit5mEOH1yl6hmSWfS4mT1vUDPjbZxUe6yrPf6H2SzwM/IBnEsLKxS4YDnedY4BsxJfNOM8TpDOGpDJyd9ovAg8K+d5/pBhr0o8CPwKLqTeBG6SeAk3cVanZz+Jh55HfPVc3WxHxSKePn1prn1+eq5x7dqBGcMKM3tHUtUgk+ehDAIoKG8142i1Ev44qC8LGpYY76+FmXakbiLv5JnxolDYuaZ/4Bfv3rZq9Kb5gZn51swLLx1vHhuZbEfjpla7OIBYVcuD6pXsIjCCWxQF0DLsWTrC4fN0Yh2UOJ7Qtfi+w2LzspZI541cTpovekc9/x/D42yWqR7EVTUx7sc9hUcBJP1fwB9hsRvegKGUNT2Im8/v+awfVt77j6JBlNl159P3cYlOS+fpPmT78BqCLwjuwidwBY+t2I3b+9vTzyi+Kneno58srykXLDe1or0epHIADgB3mNm+9BzdfVQGRp0ANgjmU8O6+YZmNJu+ONN6LguM50Fba3mwisLduGQvQ8IvyKMuu3HQfEPZeYm6JAtiH+Z0VgY1eRHXA8BMUFhl2Glgvfn+EOdxtXpMYhp30xrusZkUHI5mt2M6acZdE432q9GYOjk5+9DGgdr365WsVq9ktwF1uZa1zeAYaFdR2Ncl5YO1bBY3gy4ChRRWVTL3DERzSKql/r9UyUJ942D9kaK/2vjyg9e9/u8OXNj0137/jVf+zh+6JVo7DgW4VK9kd7h5pVsFL+DVrBf6s2sMlAT0tbiALT/v5Z4qXG6mUr5LMzssaWvX5+W4XI8vLMvme/wRBMR6ST/s+v+3zey3u/7fSmdsg4+1B1iMfwj8Pr6IDgG/mObeFfFhCIiDuGR6lcUko+i4kxYV4kuRcJvwg16h454sJ6SvYqIfY2tSQ/M0EOk6Fi7fJUnJ114Ac9ZhvYQPrGfyoIqk1RLPlCdlIYzjq88LifsQvmoNA8MLL9bsnDnZlR6FRhHjdwRDmSiarXg8C7opd36hO+L0lZ6xYTjz/jjwphkXJV0bxOZE8C7ysiRBskeoga8Sq3Ay9iDwJTpVvkrX60Hc+3K2HeMuYNVwX35XNMKdm1fve3d8dmDLqr6sVcTD1TxclLRbYiTApMTpGDVUzdhhsL9dWGxHa1czRSuL/UAzCyoL86wDToBVZbYhE99BjH919+ba3dvWniapJwHOVLOgdhH/nRlZlqmQE9rPl+/ezIpm2/J0DwNma5VsBKxIGtUsHmBXvlNDC0FTolNMyLM1ja/hAu6wX59JXCudSc0qr7Ms+BEExKiZLbVtwsKllvisV1P6Kj6/vojH2nxb0lNmdsXAw6sVSfldaYGovFG6bJJO45P8Zdx+bwNHzLwWJZ04fPAVvLcAzUE8HbgwX7lu4/Jy5Ut1UDAuqzHRTeq9kWXhiRBsb4CZvmrWHVPxNK4ZDOHu2gdT+7tRSNqsrtXKzPZmQdtX9edni2irpVhvRwMnDL+Vrll6MGZw27ov/S5XrtJ82ktH4E3huQmNFD5QumifSefOUBZMEc/TEUbzuCYVgPVF5L50f5AkaWjH2oF1O9f2j9QrWdEqrJVnobvP3gFqIVCALkWzPMusEqP14yZLHTMh5udb1spzKUhEszx4SHPMRAzKqq2Coc1DtYlGs6g3mrE9VM9WKyiaEczbeS8eV9K98s2ADcCCCnFaYmuKut1itsABlYiCYMZhPJo3AF8wY68ZefBycoHuWqXoPL5AHS5fI8uAq0xSnmJxYOI2XFPoxp8B/q7X3eFwKkuwm8tJ3AVcLQ3iOjM2pN4NxaUAACAASURBVAjC00t8L3yVa7E4sKkMdDpjZk+2C5vPgmazwHlJm7qOOw78TLrQW3hl44v4hFXXz2vpdxV3qb5n70vcVf4dtOSxr+Jel3a612i6R56ufYFOotgMrinN4vEequThfCUPP0VHPT6JcQCYT3d7GDdXSmK1XAlLdL/wITqC87t0NIo9EuuSRkHy43cPjCrJbAJeNbPZ2WbxTlHY6XZhA7VcU/3VsEnS/cA3q6IVzU5Nz7fP7z0y0vziDRt39lfzraltA8AQxpjQgJldY8bFIDCjPt8uVqFsLs8o2m2zWiV7uF4J3y+iNYLZEHADYuTv/D+vXPjffuX+G5uFvVvE2Kzl2W7DTsgdIS1c65nFNctWHpTbYjf41vQuyliVJ/GxVY7nDJgXTOP7X+w1o4YLhj7KzXg62JV+H6dTN2J5cPV0lReBGyWV5tcvAb/cc8wJXLt8Ks2vm3ES/oq4WhWlrgG+a8Y2fO+CXoi0ySpACrEeIrmVLFq9VcS+aJwVbMyCLpJMjoRdCxeSygK2b3C57VmitPOXQsQndE4qe16vhIIO093d5j3AqZTDcS2uqnZHR7ZxH/5NdFT6t4O03zqC5Rwezt0GWvLt4Y53tW8H3of7webSRC8kVXBC7m2JVf63gceXzABfA9ZLFKBB3H6upJVzDjiSVs9FQUMjU/Ov5EHzYzPN/o1DtfOrBypflVSOgwqw++D5yZcOnJu8Ba/+PIqbJjvwhUASoxKzkpp5pppvfafHhur50+bP+RCeTYmkx7JM56bn2vsLszPjU83iLz1x+0PzbXu1rxK+GKTvI7YInUi9XpN4jIWgJk3mmbozd79txnfM72G4Z/UxXJN6yLA2kEu8iBeOOYK72F+QaCN+WnBc6kTmdkXRJm/ZMm2mo6sXam1mbUm/BnwTb//vmNkbkv7z9P1vAX8b+OepPoaAv57SAK6Iq+XFOCnxRGL0rxT62oevQjek3xeBdjvGVhGtP0jnJcsKs6oKOxKCzQgsMa79S6hi79WzWc/vDkQWOkLGP3IXUW9l7kk8y7TEu/TwAPjku6f7A0k3d7mN7sSFwcN+a/ZKXIcz5dfgGlQVaJnZsOePECWq6pTfW9AwimhH29FmKkFbQlANFrnwXkrPcAPQSGnq4MLpFTMbi2YDBkPNwuK6wWpcO1i9W9J+fLVuAAPHxmefPXBu8qskARbdTVaaP2/h9SL70kp+Ao8lUDT7A6Rdcm/SoTxn3swOAeNmTOVB9XUD1fUD1eyQGafyTJN5Fv7g0kyrMjPffnegls0N9VVeyoxLWQjfMGMAN/NaWVDOAp9lTfPNj57D328T8baZzUWzvUAMUphrF9NjU/P91TwLq/oqb5jZuUoeKqAfAHNmdqzrtc0j3hbMmukMy+XF4OoGSpnZ14Gv93z2W11/n4FFBPD74mppEGdSFie4jXzM8P0P02cFnp0YQU+mcxp4gtcaodk802ARLYTAEPCwm+08GeCxIN4CMOMgnYSsS9KizMbyft09PslizkG46678rCRRL9KJbfAGx9ikp8hLFnRe0sjCg3tdzW+xWLiUqu7T+AReJTev1qbPv40TimfT/xHXLMbBBsy5ju56Ejtw3/U2SeeCuGgwHyPbskyV1I99EvemQCuAATMu4MlkbYk9+FZ0d25ds0jGnRe6j07S2u5rVvUV4fTFI1+9eXMlmsX+ananfDcrzHhBomlGS15E4VpgjZkdwTWmIZyzuDGgS7hm9W4Qea2SfQ6gv5q/gziD7y2SVSuhVckrl7KgZjTblplGzLjezDamwJ5xqVPP04xTLN4oueQPJlqFrQLatVz755rF6JmJuZn+PMsy2bl6tVJREQfzLGsgbtXi3J7TwFYz/gDs7h7y+8PFstGhPx6uFgfRzc4fw02C3s1ungT9VM95386D2riGsCHP1IwxHok+YTN1BoLSdS/hq3iZ69G9a1bvwAH0snpW+CvgGTo1NEs8Z7YQVl3iCF1FcaQFb8LNdIjKA6Db03t/FvfhPy3xAC48TtNlMuG29CRwnaR9yb3YnWkI3h/bBbsy6Txew9HwVfwAHsFaenzAC/TM4wRnWcNxKc2uDNV+Dbf3Yz3P3nxi95Y4UMvLd7eXjia2C+MdM1oRMoxLwV2cNeCA/PcEMBVdcI0GL7e3Ho+ireGCoT81ptpfzdpmNtRqx0kz3lVQOwSGYuSEmd2GJ23l+CLTwM0rzKwdjVezsBAWb+nz8PLJS6P7jo1vaBfxws7heivLFXesrdSKaBeDrJplvAM6jS8AdWCnYF8RjVa0bxXR5voqy1P5/lMfav0e2IGTfCURuLrn+zP4yum2JGBmL0u6N4ON5ueWlagEzJQVptJKOYSr6gFftfrpCIjv4JzBB2WjG3TCpiuwMAF7sdTbrOJEzzw+kbvLwpU8wzozXgHGJLpjH8bxCVUKndJseh7XOMrU7ylJQ2AFLoymJG6iI0gOp3uX9RWgs1dpb1u6Ubqdd+Oh7uckHh6oLRoWD+HcxiSQK+hzWSqPh/f3DcA3BXdIuoZSiHrAznpgEnE8OHmKGd8zb1duMJAFmdA9Bo1WYQ9K2uv+zYV4hD46QVJrSNqVpDzzwLMLZjbWKuJhfKxl/Vn2s1+5bv3s77xw4rmXjoxNP39mcvN/8eDOk5uHa9fgY+gobuodFbrOsJO4h6wWgFZXQdsPE9Jnox5EN16mw8jvZDGb3tvp54En6Fr5U32Ap3C3Z/cEPUEiOP047qWzNybd3yVU0/W7S+Uvhadxe7MtLVrVERy5LNzO7dYRb9vCm72DTij3TjpxB9ARcCXn0W3ujOIaUbcWFPDVvHTzlbU+twFPynexruFu0O6tDctr7MWF5Xk6+4/MpedsYXw9tbV8tEtoIXjrEF72vZt3wbCy5kYT79cyJqQpOOumpZA4DhyPZjO4GXgRGDFjFLFO8OSlmdZUEM3+et5vZkVQmJCIwAt5UDsP4Xsyu2iolnIpwL1DnYpQYkZdwW6pzc08kwH7zdCW1fW8WUT72ds3W9tseF1fNawdqFbw4sb/oYhsAhsHorDxPNOUwXQWtC4Lmqvky1ej4bMgIMoX6Spgp+hnk8U7S12pJ8ZYbBosddy1XF7v8r16tpw4r7/HMRg2hw90vdflotlz0Zifa8WZLKhar2Qb0woOHs/QjW5N6RJX3rDlJL5qH6ITIdiAy8yahWdK3ovynT1qXvW5O4pzSOJGM4bpCD8BD/tAtKfNeNg8qnK/xK3q2kPCbJHLFfzkH5hzJmUqdVlu/hnQg6ndB+nEa5wAdqRYjAeA54UeMLOvhaBWUcQBjHMWsRisnUlZcmFOhcAXMO1vtouZyblWbc1AtZ0pbBOLSOVj3cLcjBGw153D4SFJQ6sGfEfcB2p5BOb6K9mLZjbfKmLTAz2ZlFRMzraatUq2M4SwKUizJqaEnsCriC8LPgtl78FXxrW4yvoUWCNGZ/wl5iTqMdokcDGIbSn/v/Q1N7ovJDEJPK1OdqTSsSU5WMY8tEh1LM0YpyOYysmm9P2B9L/h9v+29B0pwCkCJ5MJMCvfpOUcsCqIZwGZV0jOotlUJYQhM5vukvxvm9mFdP9gvmI/g/dtFXg6eGJM6VY9mtoyisc5lIIG3r9q9QE62oVwMvI8nUjBCTNOyUvzlW7iBa3F/FmP4gFED0o63nP9gsWcRSHpC5idiq7ZDUVjPHNNZgZ/V6vxUO9picEYOSuYTt8haE3Pt/dVcjWDWKdMo4h6nqkRjTgyNRfqlWw0D5qvBP2gkmeDQWo12zZeFGRZftm+rL1bLCLpi0nYH8W1p5LrKgCTeDwa3wpBq7LAWBG5NDvfZmquHabm2qObhmuXKnkwd+nazSlnZVnwqdcg5AFGi6IVzfeeLF/s22Z2vRlPG/ZIkF7Bbe/SPLgfX0UvAI+AhqXLYhKWQoOO2/GHLG1KHGBxnkSUujf0VdneVfjKOZLaNR+CXkgkpQTPZmJ3kJ4XtKMx2aWE3ouTkWUQ02l80vwwPds5ic34yjvC4pqHizIHzcm4J+kIuIBzL2UF5lHc/i9rKwa8L8tn/ylcIPSQtZ1bIIbl/dYys1lJU+k6GS7cdndduw0gadt0o21Z0JGiKM4P1CvTQborJXbdA6wDO2CmO/HNbw4Irm21i29Kmp5ozG+cmSvW7ljXfyHPwryZWfTCsxv7Ktm5RjPO5xkxVLKBClQMrV7dX223ihiqeXg/Hsm3QPRw9FsN6zbZFs4NYgNoDLipiPHEpdnW1NnJuViTagO1bDq0VF/TX93oXM8y+Rb0GRAQV0D3Uxu+Y/dd6pBpBU4ynsNNkbLozEGWjmJ7i8Vl34yOfQ4+sF9OxwhfmbdyOe9xpb0XS5beAJKb69FUMHVrgM9LolbJmkGslzSRnuNSut8lnFjcFqMB9h9CCKVpUfbxq3QE6SRLb4RT4fIK4U+TPCzJa9KtzoMLom70TqjuWJAcF0rr00EV+Xt4Ha/cra72YkaRhBb9tSwCuy3XmBlt8/iOLCWPvQVsNIxGq5gQ9M01i9eaRQwvnboUwUbr1TA4NFCxVdWsUhjt/lq+CWhV87BK0j0BXkPa0472Uha4NguhJt8vYzQ9g3mTbNRsUa7FlNAk3p7bBW1LWsZANTOcw5iJMF+Y1dqtePjg2cnGb3z7nTyvhdn+/ur5p186vW1wsDbxj3/1vtU71w8cE8Tl8GKILibrY4oPa2/Ohcc2Q2bMZEFHs6CfpouUM9+zYk5iNy4obqFTXekCPvC2pusthEUndNv+jwAX5Jv0PGzG0+k8w91rZbxDM123N8ut3PptqX09FqR8JdM90qJqU2vSc7ybrvk9s3gRFIU1JD2Jr8K9xXNG6ZCIve3oRW+wV++uUL3Vttrm1biNtGFR6Ni5vfuDxp7fZfXo0PM5mXS6MNuQhbBJ7nmZYTHfYgC1TA0z5mdiXBPNLg3Vsuy2zcPtt85PXtz/7lhr17qhWn8tG8izbLJWCQLqWdCRII0JXhJcCtLr5qn6F/CCNbd03aVlneJCqWlM4SbVejM1VfajmDbsFeDLFu1NM8sMpob78taD16+rv3BsNGvOtVrtIh6farSGWr7B0i5btmzOz54Xo9ywt9uPf3PqhGd6D5Y4gQ+0E/iEvxNfXffRKRV2mo450o2FwZv6uMrlqqGkyybi06TKUuaMu0WjIWiGoHsXn8whOoy5cL/5GdxU2Ij3345UY+IosCPLsgiskbRO6pS9x7mGMsT1IktvJrSUgHi/d9SrcbWBk9G4JC+v16019Q78XgFR7kxWanSTeMhzFbgv64zmVmp/mSQV8H7ZUhhFjLa7MIYnZlt7/8n33mmNnh5p3HHXTm1eO9RXr1eKbZW+mVTwJgtBjYq0B98U6fEgPRuCPm9mb5mxm8s3IVoKvUK0rCMxGKPdUUTeMGNwZq59NEYrNg71ZQOYnRudCV+6b0dGJM43YzUWsVnJtI9ljKQMnwGS0vC8CEg+euBoEK/RWblBTNBJpoIOiViGfpbk3jCXr66X7SSVIjfLNNUpfKOau/AV9hZ8EpZb5JX2fKBTfTszszOF8RbRxiP0VwhHQ9B1fn2LeOn5bhKxZPmfpMM5RPPis5sl9Vu0s9Hs3ohN4er8eCUPWXquVvq5Hmia8QyueZS8xAE8pDsAIcY4Fw3lmV7Ccy8DLkhL4jVPz94p265UC8EWYjtmcCEbUn9M0iE1W6k8YJmeP5JEQMA5j36SySPpTTyo6HqwM+Yu3TKkPFhHo9slsU7SmYFaPnT45GT78KuHZxjorzzxR7c0X3x3rLjhcztiu4ixkofh3JMRZlOG4Wi65jTOMRmXC8BejVU42dxdImBBYARpPYFNIIb6Khda7dhoR7N974wUzYLWtqFa5YuPX1dpxXjhzh2rsyAeSHkwHz702TAxYHHS1DpQs8sNWKKBawjd6FaX67iL71kux1JmTLlR8FqclNtKCqjp6vQBLt92bQ/J5gYZZnMRGRYbZvZG9BDlDcC2JXyfS7XjSMqg6+85ptxnoUHHj38MF35lduc6PNW2D++bvFvj8chKO2/wuDxc+9YlBtSoGc/j7yAXMmBzFtiMC80F9TxIW3AhkXaVQqQ6ogkvpu9JQq9Bx/7fgL+vGfM+nAQahr2Bv7sCuFjNNQ56Z5h8TH15+FNfvjHf8kdvD69emCyOjM+2D52dytb0V1dVK2EGgxBkEkOgchOjOjAImnFOxNqkWJV0jzn5vUvhcQlfXHbhgrDo6m+TRMDmgfmQhXvzTCPNdjz8t3/p7ubrpy6yZ/uawb5KNoFCbmbrFMKyhVmLz44GcbVwJdvvsntI7DHfJfw54Hb53pnD73cePiHvTV++K2kYixezELYhzbM4DqHX7djtfXgB1wRO4+TjOUAhcL1MewGi2ZxccJQm0gAe5fnl9AwLmaFpQi7iRiTuDWhvEg69FaxP4xNjRq6ub0nX6TZTBrgc3ckYvdGVEV/FV+OCeg3uOgzp2GHgtNBN6bMq8EXD/j3GrKQxxCDGWMUnWuOJ2zbNrO6rZl++ZcP6yfn22TdPTFTbxnVBOujcgdVhIVtz2sxaOOE8DnoJVDGzBnDai9ioO7ISfJ4tcCES3TlA5acv48Ku0W7bxoBuXtNfPXj3jnVhVX9lvpKFPJoNBumSxLfMli/d+7OiQXwQ/CRdsdREf1tiHmPafEVZiqdY6p5tShXUy7Tdm4dwHndF9kZk9gqcEl2uUgYSk7+5vKXktnlA5T4MJe5mcYZop6G6LDQaSX0SN5sxRCc+ocQxPJOzl1jttsdXeWLVwoTpnTxLqe/bcTNnEy503sEFxSxOFL+czjtHqR0ZlWiWB3gXcSNiR5Zp3/jMfNyxdiADhg3bWK9VvvCrj177tSBOSaqZC52avF3PAY+YaxD3ANNyQf5Gand3UeFuXuJSyvws42lC13FHcU3uZuAZw5p5pl2ttj0VoX+gns0HESRZJpWCfENXFOeHjs8CSbnUE47/BNebobMx7ru46jgKfAMn+soBsNXjFxTlBNmzZqzFOYJDODk41dv/ZtaQb9tWkqAtfILfzOINhMHDwCdxLWAXPghL9RZ84O4Cvo/HW5Rqb7k70yxOcpbHG64SH+dyVzB09iMtC9KUhOYsvlXhd9P328GmcSGR04mLAGgZzKW4AHCzoLzWdIr5yNPxLTqVqMqEKAHXJZfqeRYX+CnwyNAocU3KZu2X9DOZeArYYz6hx4G+UxONaKANg7VWO3KoEhjfvWloo5mX/ksBXRN0snDLn+4+CZLWstgD07VdIWtwodXrmYJOLM6sxFcwjeElA6/LxGEUKinuoYmboqVZvGz1ID7m8uHq1INIA+lNOhzDjfjE6KNDGpWseAnhK8QMrj734wP1K3QGyS34hGpzOfM/irtB78dVzB104hzKEnYXzewd89WuHHBRaYCFwFZJlRjtDeusjD+Uq+alALkHDz7andqT+ItFpc5+iqW3AdyG37u7gOpOLi92cwgfnN0pyCWeTBrJauD+VG4Oc/V+1xLHb2JxduphOqRvPbVnEywUxBHwrDyZKqafJ/Ew+X58Ar+Yjm36rTmH930LX6G3mbdvVB7NOSyYuH3L8OpA2GTwdkDCGLVoQYGKxAZSVW/fBEdbcM1gLH0+iy8QVWCvmV0zNt00jGxVf+XbeRauZaErFoREr8dmNn32jhk34QJ/tlIJ18doleh7oR5Je6IGvEbjTpapopTQZ2JvTiQ2AZtS6nM5SerJNi5R5coqe5UlQmhJxBy+Uj6AD57SDChzP0pc1tOpPu2NLA6qWnC3lmx1Uu/LtPDnJF0pH6K8L1yeg/EYqRbCZc24HL3rRsSfsawM1Ys9wEUzvkEqvccH89W/xeKaFiZxka7w7lRTtIVrL2UgVz9eQbuWjqnjkzZKbjKZ2RvJHEDogjz46gCoAjYDfD4L4fXEVxxG1kKsyxXWmtnJaNaQawd3mdedPC80K6+OtRPPuSiFQEPSjZUsPNdoFg+mtnZHTEJnS8RuLWQHLrjO4fk8kxKPCh0ImR4oor2N52bswoVTW1ruvTmX604/Hq4qByHfILesgTDFYpLsvboiAJjXaxzHX1RGZ4U20o5TdAREpEvgGDYtt/kHSC48YEIdF2eJmfd5jN6Jd5LOpC234DvH5TUbYvpuHF9py/Do3uCkK2HXUh9aqvGW7tddnLVXDR4Bjssnwlz6/3oWm3tldfEFpOjJOi6k9+GTaoOZvUSnr+aUNlQ24wd4fkpplswBj4FekAv5x/GAtbXy746ZmeelGBXgrKSaXIspt15cj/dXH65NXsALD72Fh4SfRpyp5VozO2/nDdrmbuSGUOk9upHLOaRSYy3fVewqFnQ+OA/SkPQSbmL0s8TGRR8mPgscxCJ1TOLzSQ0+xuJqz2YerSigFbSocnH5Qi7hK/EPWex+M/xll2G9GT6ohwwrq0xdK6+cVOADAaFjKUqzGyO8Nz5nZq9KKiM3p/CJ8hyuzdyHawrbe87bh9c+PEsn0u95LhckcLkK2xsNecj8OjV8i7gSu3DvQj+Ls0SRl+Ivtz6ssjRpa/gkPMpic61M5e6OPzlhHW1wFE9QG8S9PPWuGr9lPcf7F451QXkJ3yZAZmzETZWHkkdmxvyY+Rg5C7RCoCVxf0qa24gL/92p0cMW7UyjGU/MttrvDrSy/sGsMgQcSMFom803Vi610HFcG5tNz1wSkBP4O+r0m7QXN8eOp/4dYFlzMZblTj82rlbZ+wt01LKSc7jbjCelhdyCQCepaNrMTkrqJu8MX1UO4lxGCxcGd6Tr5yyOo9gH1o8LhDX4wOxOVT6ED5K96dx2+j2OR1MqnZvDwq7d4Ht/jqqz2k7jE+dYeq6N+GDrZtL30smhqOEuUMNX0EP44OtelSbxwRpwLmLIzPaZT4jSk1CaAd833x5AEjmwx4xC8JZ1CtuMg3Z1Xb90VwoXlpO4F2R7l2v1XGqHpXdY9mV5frea/bakhwEMuwT0JQERU/+UHM9hYLfQarAJM/rSTk9po2X24iRqDlaPkekQlMdoo2asK8y+ITSUCuWWGbjCi8kU1TyEgWrelqmahHhZzaqd0tbX4EV9nzKzOl6gZ0DS4+ZbNg5xZRgdjfdKBY+vKsRnQ4MwFu9rAR1TwIpoLwCFmc1IjElaBwwamJysW7D3E3P+9RTcM0KngvR6Lg+y2i5pZ1f3vkkXOdcu4nyQ3s0y/eGe8/bRKfT6JCkRC1c989LGTniHTh2EXXTqHgif9CWpuI7OqrOWzmoKPnnO4i7O3nZ8nk4lqjZL8w+ltvRDM0YkfhYXCLepE9OwGq8qnuMTvZ0SnTBjK53s2bYZ3wO2pUC2UsMbY/FYyGzxKtr93QCeUVryFS1cI2l3fXZW0gNm9m2gitiCaxSPAqcxjplXQG+ATZtZdb5FAVxbr0ipH8q+aARBNQ9DGNPVPIQQ1JcF7aCjnb1C8q7ghOuXQC+ZWalNzeHC8CZ8IRjDF4954KHkjdnE5a7SDx0fc/nwoe3NGVnYIMdGY6RtZk0FvZyJr6RjTuJq5DG67O+u3IHe7M1e9H4W6OIkQtBIkG5e4ryFV5IGxrP4IL8bmOnRet7r9d1DZ0OgpQKSSlyJES8/r+HC74TcW9IPrDEXkKUZ9jIwa9gMxkFJI+a7VneXr7uRjgb1NTNGzCMIz8cYj4JqwfdCKCTdlKIvVyUTbKkJIYx9+BipxE4V6LWkOIFmu3jSjLk8Uw2YDdI+4M6kGY6FoHoyN28ys2eBd83sePT6HWNAHiNziEziYhDT7WixkulE6peUhq77ssArQH/mnMPCuzfjDZw8BTcFDe+7hqQ/jJffLwvtvAw8bGbfl8gkVcy4iL/HC7gJuYHlMjH4DERS9lWwRuuyj5XcZgT0jjIOYxpAi+7XwgNvnqJLQHiFIF5O5NkooOi1+19hcU5FTb6PZ/fgvglfrY8F6T46m+N2o1uw9LO46tUQXvzE0v2vlNwELhi+k35fggXGfan7LTUKFnl0JM3SVVcjRjuFm1hI3AC8gLG5wKaDD+ghfEOYnYJrusy18tonhabMbELSelAbN5XK5LMHAJLNf4GOd+f/J++9Yiy9sv2+339/J1TunEh2ZjebOQ8ze8KdqzszukqADMOGAAN+kB/0Yhg2bMOGDcEQDOhBFmAZwoUlwHqx7AdJN2jCvUNyOjE02UxNssnOOVZ3deWqc863lx/W/s73nVNFjq+m2aTEBRSq6oQv7b3XXuG//kuACdUNG8NdoEPR7NNotjILOiXUBuhEGwBmMtPvC/bhMPFFM7ucYjgFa/dZPM5xDCCa1QzLWh1r4GNQF9CohRV5tMV6xgJuWdYM+1AOhqrj1pmAW5X7HQfGEiAswy2Pz1LA/AA+htNpnB6TuI1bZTmOj9hs3lrxAeD1dMx/H5v3fi3ytSMpJe3C7Lo5w1B/X4keMbOPDWopl/5ihX58gdLUL+SkwefqRTU28ADhKcf3f2XL+C+TGmVk/StNzVTL0MHN0z+V08MXVaULuGWxsfc7dgRo59Hms6CLqXx8nMqzMbNzZl0r5loC9/weDgZ7Njd7Kwt6AeDDS5P7Now0L9+7crCfJOYpfNGuEdqN8QFulW3qa3P/BL7D9rN6A3xuZq8ZzESzbXnE6pkeBH0K3KoFhU5uxRgVM71JGUAdkthkxppojFuMV3MPAh/p5LamHnR9tpW3a5nak7Ptxmy7c3XL6qGmlMmcP/NZefk1VFxMLa0Mvge4mqyqPRJ7kuXyCu42FAxfL5hxStIPcWW1Gu8jkeEZH8PbKdyVNKfHIO7Gmf7d5U4piPcoA3oD+AKv5N/VFJaZR5m945H7hIdx7f4OPjgTONvxgGC/mY3Jsx23zOyglKIFQOJnVDQruA8WJK4ljbyAg2vm6AVJYd6SbV/6uwX8qoI6BF9ElnL/rVSSXo0vVGUdfoyt+CStdgMrgFQX0+f2OS+iZThYK5pxUmhrYQAAIABJREFUWu6fr6ESfzDv9FTENxbM7FM8LjCNT+yhdh4/6UQL960cGPiHr53a8g/+6oMnakEFanJazty1Nz3jUUm/b2bHgAcTb8Ya3Hp7FVdyn1IyWRkeN5rOzVqCTh5tAfScwWF585zzQZrOgrUkPpAf48N0jBup/P1mqtI8DWYRcjOO1kLIahm3252odicPn1+b7UwtdPJGCKvWjzY11KhliE1ypulbaY5cSNcWzDk1z+B4iDnKoj8B75jxnGGLGIdxarxVwCo5xmXT1EL71HCj1siCxoHdElfxoPEP0j3cpRKE7wgfhMRTVHZbsy7Aqfqpqp39tspYRCEzkkaWeVxHMKvFSKjX9CLA3GL+ZrOmXNIwvXR3/eb8CVsKXOrfHg6pl+LuAE4IG3H/tcrw1F92Lsp07PWEAclTReYVfFLfS1lt+kEt05Nm9mdmtMx3t7cpF2XhwrQMew1jt8SQoftxBOeAYFLS861OPP3WmZvnf/XF+Lbx2damCxPzH9y3cnAl3mhmexa4EaTPhNbiVPTzCfj0CTCW0o8v4m5SLi1tYxiC3m+1Y63dsXazHm5kQa9jPGSpxiEL2pyF7ALyAKw88DqW7mOHYVcBmTHe6djgXKtjtUztrJ5FjPbCYie/PrUY3zhxPWu34uB/+vy2Wju3F1OfznnzbM5pocJ6LNKzk6SMWApov2/GJtx6PA18gbElGq8A+4KSOwW3BLteO3H93Re3rZlv1kJtxUB9raRr6Xi/obe14tcu33L9cMc05Vfd5j66PALdXbK/MhHg45SOWyn1VFQ+nUcOmNnNucXOQUlhZrGzePF2K7t/3cgGgxOCunlTlQd84tsMMGO+6GYp+1XsZinAqINnMwq9MQsg72v5vb7PVu+zsHhOpdcn8XjGRHq/UBzVOEgOXJM0INgi6TZLe4Ii8S7GFjPeMmNFlnm37hjjoTxy08xeF4ov7Vgzs2PN8Cf/7K3zl+9dOTAaxOk82nZJi9Hs2SBiUqIAc5Sgol/hprRw3/ts/zX4dWhFPcumMsUVWdAwTlYbJd2PBwIXwdrmYzxkJVCppuJ+xZOChblW5/LnN6bCwxtW1Du5RUnDJsbnYqxNLjL0kwfWd1Y060jMtHO7UMsIKQ1YnSs3WZ5oR7h1OgPcI++lOoExCOyNkTcFEyG4Iotm2a9PXH91tFm79NyW1QfWjww8hFua36O31ubrFX0HgpTQJW85WQQm8Qd8FA8MPSsxlKLmy6XxCnkET1U+mgKVRRFS3WA2N4by3FYu5Pn127OtydGBWjTjpkETMWvGEwrsj2YZnpHYmK5ht5m9F43bQV12q6pk9AKEDlb+7o9BVEFXwhfEb6PjLybbu5I2yiHpJxELQM2Mj+Qt6SfxLMQpM+4P0qkY7G8kfzuR6WhOss0GxDxOnxyfiR9enpp5ZcfKGxiK2GpzUNOQpHf77qsAEU3j2Y/q2J8z4wK++xaFYk1gJIidIQs3SK5j+n0hWSPPmykIHgTbLw8MAyyYcVVoAexDE7XFTnxs97qx8ZBpUmKhXtOGsazRbucz9vd/8sBgo5bdJ2wCmM3NdsfIhJ/HLoFdz7zUu4q1AVe+l3BWr7Vm/FLiD3CXtZ0F1uDB8JXJWjsG3LNxdGDi7MQcP9q1/vJQvTZGiTotgGR3ZdV+V3AQ4P53JymBYmf9Cb6zTFaAOIV8FSnHMH1pwzxa3YynJS7HPJ+8vdCan223Go1auD06WB+UsVnSCjNeSZHsQrYB+yTNZVoW0Qi9u0VRlHUn5Qt8Ir9Kmnh9Ls0ZPAMyj++Qg8BJsCfxPp6DeDxip0SrpnAwmrWDQti+ZkTrhxrx8tRie6GVrx1oZNP1TA8E3+GhdFnexC2aRXoxDACkKP4mlqJDf0UiupVUxHrux2Mbb/d+tKcDt8nL5y+BnsAsblg5EHB376zgdDTqwu576r6VNzOvWLrf0LkgttQk8mhnzTeLzQAds9/UM32fEgS2D9+AXiTVm8jHeAZ4rrrwzBhPweyzZthL29dufeye9qGherYrPfNdeMZohrKN4V2R74qC2EfvQ80oO0xN9n0OfKIVA1zlgXwKL53eRFn6/FAQnQjH23m8KhTWjTZH/uzo5bkf7anPjw7WVxhcxexG8B0mw33NdcAM3g/U4wrYa8CwXEEV6M0qLBocIXmFEmnZnz2pynKmaN2MltTNoDzAl9RZJNmOWy0v47t7GzEh9F7mHdPfxu/l7TSZlEmrA1psGmvCUGNq10AjQ9RjtPlQCxekbkezInD8GCmjkyL9b6Z7e7KCO3m7cj/yz1obqCVkY4G5eE3iDB48PEgZJJykLGCbSn8PA2fMNwxvhmzsQNSDuBhR3qwFIRYFr5lZOzcuywPVjvkIzErMYtzG58w43g9EYBPm86Xo/t0RvC+pnxl8Brdet5E6ko0267eA9Wacwq9vD2Wa867Jt1w/3LEg5V6W17onWVp1V5VqmzrDeR3qOK7gSYkxM07WQhju5PHpRj072qhn54epr4wKHLs+PbRr3UixgM1gKKAMn0hP4btzcWyEfgTdrtcv9Fkb0LezUi6YeXyB9X++SGdWockBj6Q/RjdbYzfpJYiNaWrMU1KkFYCtGo5MbeOl3pMY71MsWlhj8JiZTQTxkaRao64HakHnsqCXDT4yI2ZB30/ne5veIq8qw/bJpDCClpL7kngztiTLsFDuD+Pu20Hg5coE/5gyFfkOMGTOWj4idAtX0F9I1CS9AlzIxHgWNAUMx2gGbMhj2cekXqtMKXUrhYuOXVjl70IM9vUEihxNeQwxKLQB71D2p1IXh3ILDyZ/gVsSRZbtrsh3xYLol6v4A5/BfbsvewqpjgAz4xxeUbcTDxx+bsZG4KZhMTfeEspCYHU9C62/870tawdq4ZEQNIJP1oCbhxk+kYqiLvDA41u45fAIbrlco7fgqd+8pnLdgzgoqRpDMXw3200qe67IGCUX5iozOnm06rO+lQVW9oG8vsCtjSLf877EU2a8jyodys1eN3ebZrOMNQNBdaGbIWgAOJ0ueCl0bZnzUCrvg32fOYyPQeqZ2rMIi+Ks/nqFe/r+D3haeAR/Fk2h9ZQVlouU8PO/kBg2o4UX9D1AGjsz+yhG5gxm65nAXdUzYOfkVaVFs6MlYmZTqYhrB7DBsLM4Zd4Y7vLtk1MSPAW8a8ZZfJO4O1BrfUcsiGXkOmUl4L7K3+/iC/ELSl+/wBbU6CWYXZTYgkf7D9YzXm7n9p4Z04LNKwbqRQViUbH3opZfGPvwSs89ZhzFKwCfwifWPrz46WOJaMbHwFqpp5K0kL2UxC6/Teb7/r9G7y6+ml7CGfjtkOzu3/Kg25ikJyVeS70rh3EOh0F6F3w1oFfA2yfxhVpwH8zjAUrwjMYa3IopKl+LNoIRV+g5/qwLtqycshoy4pD14vgXKMd4Iz722+jtRN4A2ki1Wsb3zOworoheDQoDIWM92Ho8fjIKXAYFiVcdXsF+62s4ZGbnzXuNvoxnmsCrUF/CGcUlsTdG+yWuKFqgHlDb1y1OGPPt1hB3SkEUrkJxt/O4mwC+gPdTUqS3cQ1d9KgspN+f7y6MIKYUtD8EZs20gIOPNlBG1ovdv/q0bwAbKpkV8Hx/sRuvo7Q0OjFaAFopJ/67SstvyKbM7GQysQtlcCT9njAsChXX3g/vtb7f4ArqcXPLbHN6b3c6dpW3cTMlZiDiCMwW/nxaOPbjp5XjRsr0YYtSeV+jr5kvbjXdW7mfiLsx3+9euHEFL3R7GvgFvusvQrcPyuvmJL2phN9mU1HVHPDL4OjSXOho+nw9lZqDW5jdzJGkYGY9iNnkVpylVBqF5bfGsBaOcSmUfWZwO0YbA5uTtE/uAnI3JHzLTYg7pSC6EfqvkIJIppBblIHBrxRJoxKvmOkU8skh7A18Nyr4GE9RIgEXcGvkduUwN6Ul3bnAF8O0pKcM+zeG1TCdwhdcscPW0k/RW1OV+72V3nMuBqxQWOc7MX7+q8+vN3/64IYCYXkpy7rNed6Wuy4Fz0U1378vvT6LL9jX0zkWze95JXDcDIKoG3YaLwk3M+qSiqDdBWBG4md4RmRVOk+/pXWdctFV3+vu8ma2IKmgt6+K8LhEUU6/iAdbczw4vAG3Ri6kkuxd5r04RtPzfNHgPcR8AKQu/f0jwBFzzsmxdMxJSu6KqlStrAfMUaGFe3mRsu7lC6ATzaYNnpXxyyyE+83sqhmTnTzmrTxeMrgw1Ph3Qen/5eVO6gdJfwD8Y/ze/08z+1+X+cz3gf8Nj/WNm9ne/s9U5WtxMRIOvk2ZKQB3GapS+KeFHGUpKhJ8x8oBJHamnbCegjvFOfak8x6lrOxbQW869RjLt7s7jls8h4S24VmFL2OBkrQE9xCBYN7ubxW+GLYDHLkweazVserCL+DBbeBmldrOrMfvfTBBvJ+RutDrjQBBOoSDq96SeAHomNnr6dxFI+SqG/SOGR/hC24Trnz6y/OrSuFR3CJ4ngoNoBnvR7PRIC5LehRX+AN4HOETShRrW845UXWfSNcFTvtWN+MkjrY8BNSCBy4P9H3n6TSWB6ELeS96sLbx8V2FK4130+s5MIiIgoPmY+kKwhg3Q9H9i4Fodp9i3BdC+DftmD/WjvbJhrHGn3CXRLpzQUpJGfBPcE7Xizju5k/M7LPKZ1YC/wfwB2Z2XlL/PFgid0pBHKXcvUVvC/ZCVvZ/iV7zuZohOJj+P5T+7y6eSvpwDT7pT1W+twe3SgpF8HnlvQJbsYDvMLOUxCzDEvem+oFjLINuTHIsgcJGpW76M6Tresms290JM3tz95rh6YfWDo/luV2R9KiECRUuzqG+Y7cpF8hWenfF6q5dPIuHzbgosVZwv5UxhCrF3Hg6bhFkvIQ/m8PVVKyZE+CkmA+UwcvHKAvXJnHMwbSZvSPvCi78ec/hE/PjyneqMo4v3vfxMXvcf+wvcEVepapfTp7Ex++yGZ0UZ6kDK815Op/Q0vjBScmZsAw+wKn3YzvaD4FpzA6b2ZEc/stVTRYH67U/+5Jzf61yB0MQ3wNOJoIeJP1L4K/j4MNC/hPgX5nZeQAzW66BdI/cKQXRT+ZSndCFFZEnroUm5YStEqo+hC8QL6zprQ34lTk3wUxCyhXHBY8lFIttkV6QVXVX7uBm9qv0Yi9IyqE43kv0puyqsg1XLB0r+00U534M2KwU02jndq1ZU6zXwmThPwd9aRDsqBxZuTelBk/gZvRsup9qfKK4p7F0nfclFOSedC11M9uX3IyX+p5HUyIrqlATxmI1rmw3mbOTf44rhIbEWIy2Hyf46QCfRuNpoBmwv6hYQIViK67tMzwDUmSKPkm1EvcWSilZRj8GXgOyaLYYekvWCykUFGaM4UjTLyR+nGpf/uBLvNsO8LxU1gAZnKhn/Hk0C5hCx/hvVw1ly8H+75r8JYKUayVVO7n/kZn9UeX/eylL+cGtiP5WALtx6/s3uIv3j83sX3zVSX9nBbHQWXZ0qq8dBrY6gZSGKIFBoteXHMQn882+wCLmdGE36EVjWnpvGH8QRtmLczl5Ft9JelCcyR0qTPAiUDdMWZ+xHmeROpy++0A6z3u4aVvHd/t3JFaAHjfjXBZCsIypEOTcA9Y93rV0rjaOMs3wLMtq3Eeex+MZ71Eu7urzrP79uPlxp4HrBS1cn4R0nRdw+vcCSnw6Xfsjlc9uoKxIvWleDdkGdsuv28wttofSdwt3ZgzHsBTHegm3AFOf025g+gTwhRkjYG3zxkVPIK6n12dx4FNHXgDWwZXND9PzuI27WqO4YlmDg7620ktwLJbhdJC0K5N2BbN3DJ7LMv1d4B8u88zuiri5/f9bQYyb2XLZterh+qVf4dbwzfFH+Hp7S9LbZnZ8yTcrX/hdZbkLq+7cV4GbBvMpKHcTn4RD+CTdn3bNDh7suk7pb9bwQO9z5ozXz6RJVBB+QK9rMuiL9Euv7T7KYFoh/d2vwCfcoLw5zBHguMT38AzEyvRTzfvvJ7XTK/x9wRv1LKxUYAGjHbIl6L4irfsxbl1dwa2ngm1pZTpfTNd82bBxoRX08iHkklbhC/nfshQTcC++mC9SUuYXUhxngbIJT+FefAqMhqC/bmYd4KgZzwVxDFdkz6Tf+9I1Xk/PpECzVuUy8KphpzBqoKfMWyRsSbwUw7j7USjEncmaWcAV8i8kdqX08wf4JL8mcQmnjGtRco8G3CWxNGfqOJVg3cza5ijZYrz/wVzbfjFUV3/Xsrsmd9DFuEgvluc+6CJqq58ZT13tZyXtx929r1VBLCcR3y2EByJfEjqO7wBP4xOohiuPx6QuqerDLCWfLWQVvUHN5bofVYuNzuIuwc/Nuk15asBkCjSOmbGS5eniaqSYidTjjnwZAKkKlFqDt7UvovH7kG3ALZBF+qpGcZjvXjx1WWR5esrl3Ry33wBPG7aqj7/iuJxf8gDws8rrU/hOm2DTS8Bc4M9wCscXPIHHXxbS6w9LTAMHJW0wY0TibB9o6gF8Eu6mLIVv42M565YC08BOw6aAH8do/6/Bnwl2hNAFih3Hg6LFmH6Oz4O9+DzaQKm4HsUV8g9JY5fclr3pPg/i41GUbR/AF8sWSnj/Z5TZr/8J+NvLPJuvX3RH+SDeBXbJG0lfAv5jPOZQlT8G/vfkfjZwy/sffdVB75QFUfjhHVxbT1PuVveb551vSvwAN1ULM3YeH6w8XfBJfBFdSset7tJV5QDLB7R2ULotRdv75yVWW8lRcRDYnTIDR3GzuGixN5fOX3STfjhdW07J4HycsgNVkQZt4VbPFqkMLqaq1L0s7dEJJZhpL76gipRim96u5+A7/SCehajGR47jSnY58NYUvbR2yym3uQQ5Lqyb59KzGEjXcAVfRKsoFf7blJTyM5SZpwcpSV0GcXTiL8EGrfzuXoO1ebTbmRgGncMX/qPpeRTX0UrHeAcvUquOdTeljI9fv2U2lJ7Xk/jYvFKsQUlBlfhTNNsH/OFc2xpDdbX4BuRO6Qcz60j6e3iBXQb8czP7VNJ/kd7/p2Z2TNIv8TkU8VToV1pPd0JBBMqof5GC+zT9vw8nKnmScrKuSxdXmJT9VGeXcMXwMb4bN826bNKFHGT5ICIAKeW4iPfmPJ++XyzQ0VRbsBsYl/gEWJN22CrJTVWRFTKQrmm5LmAH8LqFDnQHvhj+DWbdtORtfNedxjkZjgPbzIuRfoVnvn6/ctx9ZrbbSpr9qiVwhdKsrC6iS7g1VaWhexRf1NU4znIVrqfxRVd0pHol3c9PcSuoypHxOiWk3XCl0sEV527PiughzD4yX/QHJW3MAreBt6LZg8A7gk0Jdv4GvrDzhFkp4kWf0asE5/H5dA99ijA9990sT2/YfUaVAG0T+M+AP1rm81+riDsLlDKzn+MUetXX/mnf//+Qv0Tc5U4oiK86Rgvf9Ypdtdh9wAewv8mvmVk7oeBW4n5twAfxGHBR0pP4bit8kRX9Ez6g3M2a6b0daRdfwC2LFnTBUkW/i1Hc12/RS0Zym6UK4suUQ1Uupvu9P312Hjdvp8xJVHdJPIQrowkz5tMzqeEcjtXWgm/jFsY4ZQBw2Jxm7wLuLrVAl9P1F8HfWZx78jipwZCkVcn8LlLARWFYvxT3V2Op8u7Pm2f4IqtiHi7jC/f99AyQ9HiZSbDXEY+acdr8OtsGnwj7CXRRsov4mJ3Ax/GpyvH34eNyDldWVSj/ND72xX1fpoSJ11LmqdhANjlikuMGP5lr278YqqsK/74r8l2AWi8XC2jgtfc5Hoi7jgNkXu37/AS+uM/jO0+XOJTSrEdiUtKP0+fXmvE4viCqrdYapSnJMykItpDSer+PZzeuQLdj9fvpeoreCf3gqP7em+CL5xPSYjVvDXeTstnvx/jue9yMWYkVKQW5mXKBV1v/rUrvDeE++D5SdgPPFhSW2Rfdv41JfEG28LLoMxgPS0uKpQDtj9578gUz+wuhLfjiuYJbFBfTsy5iQrO4svoo3WvDnIBnIP0M9/nMzXSdVQVRzR5cSsd6zo/FZdAgsCjZqlTCPQhsARXP7zl8nFdQ1uacTu818bH7mNKSKRSo8FjKi7ilcxxXLFWX7Kg5eW8dr8e4AAyacVOBu+5i6DtSrLWcgih4IIsCHvAgylvp74fwnX8KH9ir6f8JSY3kklRlX/otAIl1KQfuHAO+wHoWdCVVOi11MwbDSRm8la77I1yJ7E4ozO2VQ3xZfrwI+k3hE/Nl4FjqQTFPSYJ7Hl9gOb4QGzi3Qj/cu7prFS3qJqnsmlZkbNxA7raol/SIYQ8CvzKzT8xYL7FbKqjlbA5v3XcIN92L4GtxjIdZvoq1Kvui+bOU2CdXgBFYNOMBfAFexBXDFXnX7na6l8LFmTXnXajjrt6bkralVOdKiRtgb0A3sNvB41GD+PhmuBXWxMe5oPUrpKi1EGU177vpiVUVZyM9h2M4buQG7tIdHarrrpV4V+W7UIsRcFNuOX+2qBLcgQ9eYd4ewwdyCI9IF7tO4MsXZvE+AMmfh2RimvF2ii0IyCrZh1G8YOhJvHhrB66QXiIBkZIl0HUvDJsHpnDw1Elgq6RGupcCwFWkID+UeCK5Ms9RQqALifjO9hQec3gTn6gB35U3Q7d5y3i63hPAheR+1PFFcqDvGV4ws6nED7nejAUza+VGuxY4hBd1DaV7fF5S02xJPcxymY0eiVYybJmxLiXusxSzeRd6MCtZup/+8xSZonU4KGwUuCHpJcMum9eRDPetlX4ekUv4PHss/VzBldMOXFndxmMRH+IKdSJhpI4Br5hZ7ihMgSvInztJOlvN7OJvew5fl3y71cOdy2Lcgw/KDD6RC5BMoIRYV59FAS6qUU74c/jC+Qw3WzN8Fy7cgEPA+q9QuFWS2TNmPdDhe+jtT1HsFrfxIFvLz2e/Nt9ZJgDMd/JdwBUzOyUYl3QZJ0YtoOTv4sqi1ndszGyS3hL2mZRaLUBhdcp+katwd+UJSrP4M+ChAkxjTjxTyNMSvwAmzWwwmp3EmwnNWaqsNOtSqX2Gj02/Gf1V1H8ACM5ZGYvZZWYfSnpCIpgtWcQRzyBUlUOBDZnBO3k9iT+vp/EeqEcNfh/4YzM7J2k1S7M44HPiVTwAXmWw3gVdZOYpyqKzAuPxbIy2Dw9y12OMhBCy9P02jlA8zTck3wXCGKPkJ9xCb7ZhGN8N+/37YmJdxxdjEdkfwRdNMciBkgNgHA/0vSfxAOXCWk0yeSvH347vKudJ7fEkaHXioTzGxUamXAq/lnhB0r3FGKU6i0HcNJ6iVG6bgE0GH6i3x+Z+PDAqyglZLeYqFEQxC2bozZT01yws9v2e63t/lt64yyavCdFrgoZgzGA+RvtTM7YCi7VMj6pskjOFK/CYnlF/QdVSEYuV/EhhzRR4g37kZsERWcgx8BgSrhCO48r6aTxFecZ8HKfx3X8MbJOkquUJPk8Kl+thPBgbSUFTsy5LWLUYr7BKByQNm9nZdie2Zlv5n9Qz1etZ6GBYO49vzrXjpa1rfquuvOPiWYy7ftq/lNwpoNTzy70oMZoClV8lH+Nm6nlcUVSJZrYCT6T20+cpApfGhzh92IhH8ZdlAGriCqtghb5s2GyrYznQrmc8GFx5bU/nPQvaKywCb9ry2Yqt5pWAxf97KBd/8XtjMv2LEuXqe/3u0xS9TN/F+62+34X0KAwzZjyAywYZGxNK8A/cdLY3zHgwGp9kcosiYR5eSd9tJXdnNa60VB7XLuPPZiEFeKsymCDYL+MKsp6uswDFncLHqYNnjMbwbNUwbh1NpSKh25JGgRpiCG93uA3HPhRZnU/wDecqZaBxP12r0g7jFZuzwF/pgy23UtZIZlbDrb7x4WaG4F4zTrZirJ+6Mb1hrp3/7a1r1v0T7rbou0EYk+O7vOFafR73bYv/czzlNUAZe1jA/eON9PZkeBLH3D+Dm7Xb0uvtdse66Mp6psWEHrxoxihlb4rlZJW8uQr1EN6gxiiiJtlZ0F58p9qJ71KkfPyLZvYLXEk9SmkBLeBdtAfwxsTC040deqsvzwKPmWccPqfczaoLviByNVyR3MIX5Mf4uLxpWMF6FYXqeCn1DG4ddVLw9QjwwxCEGauj2a8F90l6REHrgI0pxnI7ZTq2+H1S7QV6PV3DJTNbb664CkV9wMxeSOi7SVyhFbiDV+QNeN4ENqb4TlUKZq2t6bditI8NVsrjcz8IEmZ2Tc6hmeFo0N9Qomn/ArpNlqopzaIzWmE1vGnYY6JLLDOEj+PZdH6FEK6YV3eO1QLrjLC4bnTA9p+d6Ick3zX5rrgYVebnKkfgorSsnztBGdS8lH5vxbEMc7jpXbUKiuvMs8BBYLWZXUrsT7vS90I67qf0mpqj5Z82HDJFYCJII3i2oTD5n8V5MFdLrBd6nBQBNyenuT+xP3Wj4uYTtgiGvll5fVI4J2Ie7bqktUE6jAfOivv/TCX9/Vjyn/t362JBnJXYVplMLYlbuIK9WvlcPXg6uF924UpgE6Uyb1C6UOvTz043PuxMHu3nBsN5bisNbgu72aiF8+n+L+NjW6AYxfINbYqxX40/j0+Tt/KIwUdm1pZUl3SBXsxJddX8GN8ALlJyaRZStU5fBN4wbAWumFKMks2U2bQgQfAM0Cv1DBsbbLz+tx7duBf418tc/9cq/z64GF83OWfALYJ+jsZqrrwY5G34JP8JjlXopk9TtNnwRdiJZrfyaF9IPC0xJrFXIsr7IjTxvp5/TtkKrjhQHsRYEB3QQ/RaL+fxCXTNPZrS1xd6Weg0ycoAp5ODJenYQurpi40IjWjcyGPsmNeOHvRLWeK/r6oev3tql9kECy7kFGXQdaMZ88ns/7Kim4wy3vEEJb/CsiJpezTWdHLba+4mrDVYjYigFg72erX8PK0v2QiL+TVlZpeil3wXytsoFX8xH6YpQXBV2QnsNbPb0ew35jyUyIPS7wKY2VGOR17WAAAgAElEQVQz24rHKl7C4z0HgbfMu8MjGAjSjyRtBqYkHRpqZCuiLU96ezdEqR7jt/18U3Kn0pxV6c9WbIJuag98slYDWUUPjR24YljEB7dhZtOU1sj8QqtzbaCRZZL+Zi3Tyb7zrgaQHFKdHmp/5WZL0h5gD9hl0DocC2G4iVyYtW/QS3hTB/Ya9j7GF8C9Bp+DPZ5iDYXclPvuTwCTRTFvq9PJsxBu16CdBdttZgugKYORUDJbn2MpcnEhPZst9NZS9CNQV+CLpcqneQRXzCEdt6fnpDkn5Js4SW9PLUcebV8erVrjYI1a+Fzor+AW37g5FX8m76sxgyvbLWbE5PosUKZRv4jOQdE9ZnDwWzFXnsd7hBY4iCVMR2bWStbH9w2OmtmEfGzXzbc6+2YW8nUrh+tX65l2ACh1TGvn8e3FTnwwk/YP1EMT9E66tilJD0nsbCr8L/3nu1vyLTcg7hhQqk1ZHdcv1aYrUPZ/uID77W18YizSWztAHvmAFGkPgZnhgVozz2NH0gWV2YJj+ASdpOwxMYorjIxKTl7wQjQOSjxucDp4L4jleCp34uCiiAfHVvj39ZRh+9q53QPsEByo1bqZgJbAChIVMzsorJMFRhMPxoMRPu9E2wHsx+xVea+HZ9P1Fy5WhvvWOb7AmySy14QXqKd7PUNJKV9YAxtwd2MMt4C24crvF3iwb1vlHlskhZQ4JR6VWGVmnVYnPgEoiI8btbAFmAA9ZmYHO9GuBkEI2gRMY9QkDZhxE7dgXjXjHTOLCaH4e8Hh8Tfolf65Urh6c/R1NzOz91PQuFByj5JubLGd/9ncYj7Qzu2h6fnOe6uHG/tR1wIs3NdWbvYq0pkQtD2Vge/F59yb0jdT7i1B9i33Me5ULUZ/xP8aJZPUfX3vWfp84bOexhejmdkA8IykotJuAd/hHwcOGawOWXheaBqH04Iv4EEqzEPQJYIpCGQ/xyPdU2aswZmp+lOIXUmBwJfScVp4GreGm6+ddLwnzI89pbSwJa01s1vAFwaLSD/Lc9tfr4WVGEdUPieD7u4xZMZxnO2pv1nwEdElua3KF5ScGuC+eVHQtrfvs8K7eW/re71qkbyKc1IcBhZqQcGgiVcIjgN5NDtoPma3gtTBlW6kLBjbRxlDeQkvQ18RpJFEcVZFqWK2BBhVBHCLasxdwLqkHB6nD7FrZp08cqiT84OhRu32YqfdGqhncyq7ar0DXG7UsmeBw4ud+IKZHQMtSjySsBn3An8qdRss3XX5LgQp+49R46ub9HbwrEaR125S5tM/MLhsZmeAZ0NgKMYuzHo7cI+8c9YYng+vloD3c17O0Ivnx4yFIL7A02e1wq+XK5ih9Nl1krr1EnKugedTleYbQKsWOBeNmyGwG/hIUpGmPeqnoU2KYdQz7Wzldg6vhjyIg5bWm3GUsjTce0h4CfqrlB2/FtMxb/ll9nT6uor781l6hvcDf0p5L2ZmU+nvSUnVGAa48q1WrGbA90D76jUt7bIF9yd2rDP4eL0mV4pFp66eYLSkZsV1maHPYrCl1ZbVuNSLFAhZj0v0w/mPzS3GVbgyPClp/YrB+q+zoOp82Cwn/NlP6eqM4NbWcXz+/P3BOkuYn++mfMv1w++uIMyo4xN/j8RalrJJFXnxDLow3R3An8irGqtlyhkeJe9mCiQ2mnFTbqYXEyDSqxxmWMoXMdn/WqJtf9ywKiHL51YxaeU+/5OporToAjWHK6gf3Z5r/fHKocZoLTBqsEJl3UlKHwoz+zVuzh/DYyhF0NJw5TGBK7Ri4rZx+K9bO0bEn81Gls8OvCnxYl91Zh13q6rBz25aMGV9usCohDwsLJGqLBuwS6zJt4O0A19gz+EkvgWVnqXzDaXnVVTlCreyJihJezKDmrNxa1t6baJvsWT+yHjR+tKbguuNmiZaHdsoWDPYCIlFqgcRWdDTvVLPwtHFTjyZBe1Or5l8o7hrDNbLidB/+LUYhtXxlFLRIFUkFmHchNtFb9DpkMRKPGp/P56+KgZ2Ep98eSpyMjPmotlpoZ9UzLFx9RLATuHK4C26E9Cu4z7oEPBgsjwKqQb5pumVujkF/XnoIdgFOLpyqLEexyEMIA6AekBiZnYCaJrZajMupE7bAghoCGOV4xv0eCfnDWGfZoGOpM/wQF9MD/bP8RTxbVyRFO3oWiRgmsTLqWp1bxqL2zhS8gmh/izFTZYiJ5fjTPiqzNYxiReSYhpjKSkqLNsKTwdC6M3aJD6GH1Zemur9TsEWrjpm261EpWKwvVELlzt5fjr6ZnMy1aRsSuCoV/A5Ny9xHqRmLTuTRwZrGRvx8diJB5S/OdF3wIJIxxg1bA7jErAoaQO+o9zAd/c6Je5hAVcgUziKcpG0S0raISCaHZT0coy2vxPNzNgh2YFmpj34gimi5kU3qTk86LkmHf8xwRErMQrnDTsjB0b1y0IqijqC99SYTcd9ld7A2kWcQ3FFSrP9QuhnOFjrtMQOM5u3FKyNkXcMouBELYQbYPOgRh7jGbww6ZCHWpiLZtsz6QZLU5+/MexJ+TT6AA++TqnsDlawgL9L2SfiFRxctKvvWLdZKkPLvLbHnH28n6kpp1QwG3CFs4alMoena6ubwnJKp796cgnJbEU24ONduItbDLYMNrPX8twKRu9CtpJIh8zJclcBx+uZ9kRjXSe3c8CpIP7voYa+NA51t+S7EINokmCwyVdYUGk6F7tbFx6Lm8FP4ophD8sX5ngQz4lFJoFtgquSCnN9mETNnj5fcCpCLwV+IVsccWnjqS6hC7Ax6zJhp7Jt7lEZz6imWe/DA6YPSarjiL/CxJ+K0T7EqfZewTiem60N6Fr0AquWpDfBVk/Pt2dHBmrTlhq+dDrxkqTmYKPranXwAFstPbsLhp1P/Tc/pEwFAqxJblrx1KYNkLNkb8OBX1dxrER9mbn4ET5+BanKEGUXsUvpvQYe8ziR7hWJXal4bjkW7RaurBYo0ZCPJn6MqlXTX0m6w4wPk+V41WBQXnG5BZSDdYAjGDPmFlxNYiALqhlcxOw6aApXPHW8Cvcp3KXYaH4/bWCLYL+kf77Mtd9VEZ4n/jbLnVAQ/T3KCvqx6p1vwne7Fr74LuHpvdOV70d8p5kxp0M/EM3GMZsL0ulaFordagZfrFW/tMqpkOMX0LMjmdnRVm7PB3GgnoWpytUVkG+ABzHGK+/17zCPUxY7bUv3cALYFY2ZGG0oC7SEQiZdAVOQhqLzcYZWxzrNRm2kHRnOZFOgTQbnU5R/B8bP8ThOAfQRvmsfN6wt1L/I+12Eolw+KVitBtuAE9jESrxgEH8+eynnwAmpa3Xc78+sy7FRwy2CBUqmp/twd7CVjjWJL8yC8+FzXMGOUlo3VenhyDSzMWDWymIuDPYpEe1UKlqPmLFdMG3Gw+YvnswCG6QuanYCWJUySkfMeVLHJEZj5IDBLwbrX9os+a7KtzzLeUcURH+KM8MX0fPAnJm9BmyWt1YrKvROps/VKYN2l/CJNoFbCCuEJiS2NOrhMUmFeVlM2uqjbeOT9Vr6/nX5RD6c8Pp5Hi2Xt3gfSmXY5+m6JHqTsp6ialovx00xhE/gDp7+XOjk8XwiVanlkcNZsIUQZEDo5LYtGqcy2Wwm5hbyOItRz+rBzOKkpE4tKDe4IgCjbdhhnM4+AyylOlfQi/yEHhg5gD4DG8d5PCclBiTJjN3y3hPVeysCx4XcNuNyivy38FRjhiv0dZQkMwW71FZ6papgMG9PUFzfeS0lAaoCzArYer8LOI9bU1n6qUvaHrCJaGVjJXk7wGrp+RywKmVAnib180xWz258/n0r5LuoIIKZvYqnMkeicS2oa6YXZvQKfNC2mcctiqj+OYkfSPwad1tWmi/Ioov3bVyR7Om79ogP/G7cnVkvaRD4XvH8g3QI8WQ0+2Chlc/ValmUGM4CuyoYgRvCkY1mdlziImgOUo8Tlyk8GKp07/MSC0oNY2O0EXmlZDC/3487nRgt02I9C9Qzmp9fn7EtKwfvmZzrXLpv1aCFoCyPNp9Hq2XSzYitF6xr1EJ10hcsTVdxJTnXiXFO8EWQFvHs0HpghUEE2w66IHUzFt+jbAUAvvhu4gVaWbqPW6B7wHIzbiP+xpc0dlmOjq9fmVYL08bNOCr1oDlvpv4MV8yxFEviQ/JYzXKB0AuZ6OCKYKGd20ZBVOoYlWDwZ4GXzKwNvC20Aawx18rfA1aMNH8btejXLz42324N8TsriBgt4LtNdxEF8T1JT0ZjXHALdNuMNxM46Sp0u2ANgN2uuANtjNcEFs3+3IymMM21Ohpu1l/BFcuV9Nl6OlZRWtx/Tz33Vq+Fl9qdeHihHTt5tDVZZled9qyH0OV2NDscze4XLGbSCqmnoXCPmNPOvZ+FsDPzIOarizG/mhsrArYo6Yl2bu/UMg1lgUXzbE/73MRs9vbpm6cf2jQ6PDZYj4ONLI/RiGYLA/Wgei2bS6XoVQVRxxXEqJ/bFs1omj/v6ehciw/EaL/GLbaGzFoSHyZcRQu4JHTRvKR9SuhV3BLYZ/B9M8Ds5/JddwTHPPQAnLrj9BWvJX6GR81sPDdrCZSFsDlVqq7Hg5ht3Px/laXsUYUsu3okPYIHbZ8xs8F/tP/0qv/6+zsj7p6cw8iScj5qxo1oNiq3Zm9mcE4hfPwl57vr8h+8BWFGk74aAgW1cOU4iXXNzP6c/nk8iNXfM+IjSY9btF8Bj2dZGJiZax8ebjpZbIw2HoLexy2Mwq89he8YVyjTlt3YiJlNm3FL0tNDjeydaDyZPtfGF94H+K44HaSfgf0qSK/KKzC/VCSOktibinszWBmcd2HasMPCQGFjNLsR8zxKmts8Orh49PK0zbRiPH9rrpNlNLasHGJ4oDacSW2MB0x8SCpO88N2e0U0gUUri5125tE+BUWwg9FsVvCpmZ3Ogp7DU6v7DEPSBsMWcKUQDItycEY1jrQezxrUMd43bFhlF+iIZ3aq2JVCqkp6fR7jX5hbK7sSGnNlGp9jODP3DnMF1E9PV3nAX5pyzfAN5poZ47nZwzOL+VujA7VoZs8stDtvZyHktSxsxjeR2ImWR7MOQf/D6uGsn9PyG5NvuQHxtdHefwRqCruKWJtSh1XlUACGAALGBG4JtFD39XVmTgpSz3Q7z+NwHu31LAuj9NKggy+abennAt7l+CY+GW8YPJei2FujsRlXXvcC11JKtvCPDwAfBYW/kgYuS0VN13H3ZhZPhb6IuzI9MHIzW5TYF6NZCGqboXoWMDjf6li7nilr51Gnb83Xxqda8eS1qUUiK3euG55c6MROrR3bjVpYXQu0gSGwZ1PGBMo+mAAIzmRB24H3zGw2RsvNxyJ2Ymy3OtbJxPu1LOS1LKyQmJa7ejvSCJwAPjQsk9PUTfo5WYhmF+WcEr8HHDFsfXI13sV3+x53wMwMuAoq+pU+aB5j2IUxJe/GfRzYpsTNER2/8X08VnSBMks0iSusL6PlL+SVNI76z7+35czoQDaAK6DPGrXs6YSTsWj2OTAXRD0LWmHW5QD9xkV49PTbLF9HDAIzHpAYA7VSzn4fvriKFFq1t6boJby9BCBxFZgGKYjWYic/mYXwfXl0vP98N4H98m7bA8BwqpPYQ6LAs3LPG65Eu6eoIAnlCLvHK8cVrnw2U2lQY17w9QJ0u3NNxWhzwLP1oBUL0eYFqzPpZhY0A6gWNNjJY2zUwsLD60fC55cn9K8Pnak9/fB9Dzy9eeUnzXqIQWzJo12RtK3Vjhc7Ma+PNrNzTjhrl6MvppaglQVdC0Hn8cyFDFZ5SliLtSxr1II92M7tUghhbRa0R9KoYcWO/SgeqHsk3d9t3KU4hGMMRuTjUBSEfWTYJaFX8ADyXBq/ItjcSmP4THpAF/AYwwkzjgbTeom8gF67PummkgsG8NVSD68IwL9NwKeQhiek85qkJtCQNLdhtPl8mkdPSoLIa+Zje72ehUfMGaSOgd3fyW0jjr/5Vsi3XD/87gpCIk+ouDSIKMUaHqA0XQNL+QcKk7T/ES34i1qHeEri7WYtGzSPFaw1r2p8C3hS6ubS78cnejeyLrTPsD0Yr/u1GDHyvnxyF0xXLYybeH5+BQ4PNpWRuX74dnG9Oa4Yu4ojBB2L0T6StLdRC3+aR7sNtiqPzIWgVoTOXCuGekZ+9uacfXRukoHBem3y+tRHtUytRghZLQv1ucVcn1yaOn/PysG5kYEauCu0FTiXBd02Y15iq6RmUchlcDCIhxBHo9lAkJ5CWjmYcSNhRy4C14X2Gp7NQdqUsjkPA2fk/UOex/k7Fs0zQtNSwj44QGsUeDPxZeyWeDIhOQsSYtL1TJjx0xj5pbzepIWT4kyDWXTuz2oVbejDSBSykUqrPEuFe3KWqwU80Dqbysbnip+06LbgFteneJp3VSfGf93JuziZb1yk7wDUuuYmfx/cmP34RKvh5twEXnLcwBXDECUD8hSeyropMYQrksMpLfe20FplYWcn2jHzLX11cb4EcprAzdl+AtiakAwbAO6Vd6F6SGKfGXslOolGbX+Qnk8T/UfpuNO4xXOF5cvBt1LS3rfxBbBT4kEzPs7z2F5o551Gls0r8Ncz+OMYrdWJ9jgWj/zRn39a++T0TW3fNMb3n948sHZ0YMtCK790a6a1INEwB5vlglMRbgU4hHQTYygLeiHd71vVC5L3Hw1B+lEWuIDv0PcVGZoEODsrNCTxAzPek/SEmR0CnsFTgI/gC3C/eUS1v07DT6VumXjRQexyeg54ANTOZ4H5LGh1jGQS80BmZvvNF+6jfcesYhLep1DixphhP08K/Ht0Gb7YiM+lrcCHaYkNUSJDPyfNbXMMzsNgb2UK2cqRUG1c9I3Lt1w/fD0uBl4I9anK5jWHKC2GovHtQ8A60GcJDXgoxQUEnJb0V3FSkt14cxuBjtALDiomxRxw3rxTUtFfQmb2a/PW9XPmwbV3Zlv5xEAtnKiF4Dl7dZ9BNSA2ilsPW3BTu7+G4SoVpZhIdX8FLJjZhBlZnpt1ZBnR/mymkw+PDdTbI00dOXFtoXP2/K1sYHhw6KEd66bH1o3On789PzPX6tj1yYXzi3kMqwbqn9yeb2XNekBkK6iUu5PwA6qgQQUzBu/Ii8EOmvGcpB42rQTr3qIy8Nf21/WSmb0LvCQ4nsd4vJ3b+loWbsYYOwqawmgFaXOazMV5O/K+p7P4dV0xbD+OVdhJcu2yjBNCjob1cvif47UwBaDO6K2HmQ2OmSGafQi8gPEbxBvAT9NnqjDyL+uIdRh3X5pmHJH0ANju2ZZpuKHlgqzfiHwXshiRkjMQfMD7QTHC/dN5PHD4Eg5THqfc+c3M7jNXJruS6TUJHJa0kMEUYgKxmmQG49bHADBi2IRQwadwAtiF+NSMi3m0I7OLnU1Z0Jl6prGgntRdoeD6qxi/wBVPk6XI0J4mQQbvR7MB8z4UMYJCFm4Z1lxox431oOMzi536QD00b863W3/vbz3R+mdvnJz673/2cO3ffnJ59kyzvnhtaq6xZqgZgMUNowOjc618oZ3nF0U9Ah9h1s6NceDnQQwjzaULekfS78l38TOUAcS9aXzexnfbRfVmBap8jvcALTPbHaOjI/M8Ts218hCN6yuH6kMEpvPc9km0Q9BnePpzR5HLN7OLVgKxih4pI3i3rRFzYtu/FqSf4pZjN/NldOn0rquy+CVNmFkzlcp/xPJSbDxv40pvSNIzCSg3CTyIeBj4GPQvB2rLZmC+ERHfDcKYAbwyrtoPoj8IJNx1GMajz8574FLHMwKzuHKYxxXOfRKb8OKhg05uypCZDUk8gy+Ghhnb8BTnfQm1OZiO1TK4HiOdPFqrHvThbCsfqQ3UFkIIh9I1hYRcPAmsN5gUXcTmdXxnvGxmVynJTwfxyb9eUpb8+IsBbWjH+HoebTFGhjq5tYRdvjw5P79+uLHw+fXpbPVAY358tj04NNCM585cj59enMgPn7tJG3XOTy6YmA4/3b02n5lfbA01Gw+1Owy2c5tr1PRgbhw04+VObiaxv1Hz7IZhM8BljElJUySAGp4VaKZ72A2cTos0T6nOIRzZuoCYwElrVs20OgMZzEwtdMLIQK0zVA/HojFGbk9LetSMg8GVerW/B+mZFDwfU7gVNpkwFUV174H0HHv6d8qtgEP4fMzT+EccTXrbsKJjWgEVX0zzLuBK4CRuhbxAb9yolebaxvTzP/JtEn0HLAiW7805RW+uvP8xdCdI2tVe7X7MuAJcNuM3FR94bUqm5ZQ73wXgVYnjqc/Cz/BJUzSm3Sho1zKtXWjH0+Mzi5ZJt8YGag1hbTwi/xFim7lCuQSsSgsOQaMT4675VjzYqIVR4FojC13QVLq+Rrr/rYg9ndyOR3P/OhD/5YHTt+oPrB+ZQzQe3rQin1/srN2YW8tG63PPPbs9HDp/e+37n90YP3puZuCBrSvzej1rvnZqPH/s3hXrH7+38eloI8ui2fY8xp8HySTtxx+ELNoMmQom7SlceZm8T8gqM35DJV6DpzeLVHPRUBhcEd6P38vZkWZt6ub04pxFaw3Us43NWmgmE+F9CUvPqqcRUqKSj3g86KP0ewhYBA2YsQIPeBaxizOUtTfjkn7A8nPxEnBvH5ozAkekHuwMlGCrNp6OfRBXkjXoFpYN8+UuyTciX4JU/dbInVAQi5SdtcAVQwfIoveWWInTlB2mzHRMm/Ep7uMXJdW1qfn2hSxoIQvaXQtqZ5k2p+Pfj9Ews4shaDEFFOfAPsDjCw3gEKIjqJv7uEMY19t57Fy6vdD8v945M/t3X9oZ2nm0WsxatdBtBFvFMlwC7jWz9mLHJn594vpbZ2/NPfSD+9devn/tyI5OHg9nQc+mqHnT3SuNCB427G1Ji5gRZJ+jMPTc1tWvLHTy15v1bLCZhdjKLd+2ZmighsV7147Gj6/O3PN3frR7amoxz+/fOJz/i9dO5I++sM12rhq5sqJZy2u1bFTS49G4Xa+FRpCqgKIDlP0yhLoNjCfNqeOewXfVX+ALukORIoTcUnNh+YJ6Eq9wXGzUwo/XjjbfXGjni0HKFfSo0CCJkUpu8T2esA8n0nheBv6QPto/ejtrv1e8mDaFkMqxd+AB3+Ug1cu1TAgsn10q5FS69wYOJT8F/M84W/rO6nV80yK+GxZEjaWdta5IbDJvpvscS9GSx/HJ9CBusreAxRhtCJgRHCFoDBgxs5YZlwWfGQzGyD2GTeCgqM3AJ1kg4IxTT4LNCD4xp4dbKalTz0L80Z5NgwTFgUbWCKJm8L6WmskARIcEP7111dCRyYX26XZuE2Y2bs5I9ZsESKqZ2Sp8p7wO0KjrgXabnw80stEQYs2s/dGHV2br0wud9l97ZOPo+5dvaa6V11/aumJmrN3p2Ehj6oF7xrbdMzJwaTbPF3/64rZ1O1YOr2jWs6tzrdgay0LbjHeQpoHf62OFKqj3rlCWwA/hPTMyHN8xiEf6+wLJPfvWdPrcq9HMMHsjC2oNNWurQtBm/DnuwGs1/iB957q5gio4KIu4QT8E+zHDfpGa2SxSdmnPARJupZ6u8UL6qaJyqwjPiM+bB1jaRqEq2ymt1zXppz1Q47/6iu98Y/JdUBDDuAlXRKULMtOqVB/DIm5VFJbDtvT7lqQzs4udZm6WbRhrGogYedtgaLGdd5r18Pzt2dbtTm4nh5rZ9WY9mwnielBogF3BJ84KPEW6A5jt5DHbtGKgdc/KwZUSO7KgYXnLt2hO6FLIeRJoKkZ3M3atHXl619qRozHGuTzSrtV4HgfoLCfHg7SxWZfMCM1aeKU+3Dj3w13r5oXNGlr/g/tX77gwPv9pIOT/3X/0VHNyvjN+Y3rxDzuRfMPIwPia4YbqmQZGB+shiFWDzaw+v5ivD1Jb7j5Vx6tOwpeo5H48iivrwg1bxBddEQjehbsibXyXHSTtxjHaGTwwuyrxSb4I7JO3BgBspDKM6wWDy0T7lqvRWFG4FhV5p+//jbhVeYPeZktVBfGJxGPJPVnOrS3kDK4U1lVaIP43lMrpWyX/wRdrUaIjW5St3Kz/t1m3TuJUAtyM4xNlDb4D13Hzd7vg05mFzkItC/+qnoWdws53Ymx0FuzN3GzEjPk8WjOP8Zko3shC6ATxQ3xCncZQyp1P1TPFdm4vZ4EDgtsYH6X35hPQquiwXTTGbdYyjWFcbef2hcHLIYRHATqRt+uyjanIq5DTQV1INunYL2EcMAcXPSopF0wO1rOLA/Xs5XUrGm82atkjwLH5dn4gtzidBY394Z5Ngyevz1xt1MJIENMxMhSCzoSgYpxO4aS3hiMPH8IDd4VcxlGRNUqyl0fSe0XdScH3eQTYadaN9s/gCiTBprvybBrItpmdCVKRAernASnO0S9Wea+wZO7Fs1kFLSG4O7Iad92gdIlu4STDW3DKu7l0rF/gm1NRk1KgaOfNLDNXls+a2QeC/+dL6r6+UZEg+7pbV/2OcqcURAs3E4v264UFUUyOQNmyfRvQkDgAPJeCaW3gxxKHgfsWW/nxKxPzLQVj/Yqhq8P1bDA3s5rQ2Ym529tXDWWAaiG8P9fKmW+1HxlphneCNCNpbRDr085xEWQpmFiTtMfAZLZH0hmhan3ILYlhM7sl6RGkejOw0czmotm+dm4/wXfnfcGPd8qcl3LOWa3tbLrZF4DPECMBFqNP7E+DmIhoYXgg+3BmIW8uttvXwaZX/H/svXmwXVd23vf79jl3eDPmeSQBEJyHJgmOAFvtHi3JkUsuO7blWJYdy2U5ccVxuZzETpwqR/IUS7YlS4qsyGPkUW5J3a1mTwQIggBJkAQHkAQBkJjnB+DN79579sofa59377vvkc2WwCbYxKp6Bdx7z3z2XnsN3/pWT6V3cV9lMAthG1hl84qBw0W0KeDB6ZY/xiBeTNfYTHDkfbQZmWbeoZmVJvUAaDDdN7gSGaJN6tIElv+jWhMAACAASURBVJvxKs4StaJcyRLJytt4GrqTMKcEZpUKYj6ujIbaK7VwCPiVdL3302YWW5PGxtdxBXERT0seo90dvlx4+vAsTCcH6SFcgZTZrFvxTNYkcJccNLM5Qbr/cU9F/3qea70u5FoiKSV9AfgF3ML6NTObl7Fb0gN43PCPm9l/er9jXqsg5WLcOgi4tr8KvC5XGm+mz0dp989cnlauS3j0eRHQjGYxQvbyu5eKn/5nO3Xz1lX1P3Tfmspnb14yPlDPmveuW3jf3dWhN0YmWwbEIAaiswu91IpczQK1XDzQiuwk2nEgA5vWbPPyVoO9mk159iI+abaBztAZpRe9QisSEcsSc6r3VXi36E4pP1XwYOenPGVqAK2U3bgyMV2MRCvuE+yu5mFHNLuUhdAvUTGjlQVO5iFMmtkV89W0FpyG/yzwQPT7Wi7RI+kIyUUws5alWggchfmGmdUM+uQ1CyUitJPRuw+PD1Xx5zGY7q0PeMywbxt2Ep+464FDKa17hvkrOgtXlrMeyn7acOnttDEQjuB0y2ENjmJ9rxqJBcxmLh9hdgs/cG6RaTwIeY9EnpTeyvc45kcu1zJImciFfhHvZXoSeF7Sb5vZwXm2+3u4cv6uci1qMfqZG+x7F9gm6Q3gtqQMytX6Km7mHsYVyzSOertHQLOIZ//3/3SgmmVZdvr4pcvfLNDh0yP2t7+0FeCUQdEqovVUKguvTraauKl9VU5UM5Dm6cbpZnGqiDbcW8t/ZIbPMIkZGwx7RdJ53O9+NP0LczkyT0ncW831cqNlS8xmPzNzwtscV5DHgRONVmwdvzKxZ/2C3t4s6DRuYV0BphYP1JpFYRPA1Wj2djTqqYltTdJgJQsDgpukkMu7cSN4EnRBYoWZlY2PS0o64ZN8FGeJHktBwV58dc4NVprZrpQFmSGqlViDT6CLuNL+SnovdySsxO14XKbM9LyTajRS+8I50u1ilJiFUp7BLYUSQbmA2VmP9yKu3ZdQuU/jFsz9tBmoOomFz3T9BnNZy68ruYYGxIN4FfNRP65+E/gj+ILQKX8F+M8wJ008r1wLC+K9bjHgPvFNzF5tSvdjHH/h5TGebRax7/JEs1i7cenmJcuH3jh3+nL1yBtHp0bGV9qxT62sL+2vXbk03sgGa5WBqVbxe1PN4nOjk62ry4dqrWjWI1Qxs7cMLgVpsEl0TIPXXDwYjZfxmgwKowh+LWXcZEPCWXRDxy0d455qzqvmpelEszeFqun+RlK6cx1wrJaHHY1WfA6xSlIZQHw6iDuHeirv0o7U76KzGMnZsuvmPT4v0a49uF/Qb8Zrkhrp2W5l9kQoadTKlXZQUg2vf3gYD9q9lfZf3/HensEVTh8+HkoAW0kfX8opfNV+vzFTdH0WnkI9nv424vc1lY59ktlp5s79n/Zbn+G03AncYWav47GLVlLwnQ2T1uETYp0ZYxL/EfjIyWnfW0T44LGRJZI6U7S/ama/2vF5NR6QLuUkXanjlAH7MXwh+b4piPeSM7jvuJfZq4R3Zva8fSfw6N3COLu4r7ry//qRW8/88lNHmBifzobfvhrPH2nZ115dOn3vxqVxsJq1hnrySy1jxUC9Ehf1FeNBYSjPNSjvpJ0Bt+S5XsvzHNyXznGFdEdHSXE0szOSJtI2ZSrurplr8iLx46RBLOlOiVuj2Yv4SlxaRWXNQwQWS+q9bcVg1Wwmu3AxiAFJq8zshDk79TSOY5h5MJICZmeC8zAcxyfvMtzqagAXUqFZCWuv4CZ7iT3ZRLthzFA65nbMdgFbkkvSzUQ9hAPL9qbr35UYpwQ8jZFbmz/0qDy13Af0ozmkud0KAjxTcgZ3YVbjSu87+HFO4O/llnn2D5rdBmCXGa8mzEuvXNksZLaFsCcdfyPwC/WcvzrP9Vw3Ir4nC+Kimd3/Pr/Pd6RuN/Dngb9hZsUHzZ5ci1qMJnPb1keJFTHak17Jp6X4YDBgOKWqJiUOx2iTpHJhwZUgXu+r5Wfu2jDU//Wdb4w1JidMqtQHq7nApnqqwUanWssXDdRqQQyb5ZnE6mgsk9iIt9MrSU1eA9skqS6nVSuRmcfyoGF5U1lgLitWktPzfF/26Hyj6/uQ/haYd5Sq4EHbAcGbaveMNNoU/XvxgNsVfJUsglSS4Yzgk3kkSJuTdfOUYVcTwc5XzFAI+lLHsUjHmQYumbFYotZx7tLKGMWDezUS4xK+2nwb2D7DIO1FaKWV8iqu8NsVnjZTczGGBwh7otl+PJh6h6R+wCYbhRXRzvVWs0Mh6CJuFWzGFcdKPAC6Dlfap/B41RpS3w9JC0mWjXysSd7h69s43P4Urhg6WwY+Otmk2lO5vpCTs0SQXzsgxEna6Fjw53e6a5v7gd9MymEJ8CVJLTP7r+910GtFe9/drn0CyBD9Bo/LYxJrO7Zfga+Qm2hHtneZWV+M3Dk+3Yq9uW6OU+MX8/7BRX/y01sn71g9ZAP1zLCQ9feEZghUhOomGmZ2GriEcdGiVaLxe+PTzTv/2dfeHP6j29Y9d9vahdutg9YsSMeVKgaTzHpLCYh1MH3fXclZSqdv/UbHMVYB+4QmwYaByRBmJj02GyPygGGvdRSZIbEXm+krMQy0zGzI4CpGf0rf1dN5LpjRkgO/Sv9/gWE1oVX45N6MZyWqtEvrp9Pny8Dn036juFX0Lm4RLZIEZvdbm0e0e0XK6Op/2iEzK3utEpoYq5uFTdaCyrhTehwM4u9mCm+JKJJlacZGoAX2lKQVEuOgKdo4iNV4QLlsHtTJbXk/8HeAvznPtV0X8j1aEN9Nnsfp/Tbi7uCfAP5k5wZmVmagkPQbwO++n3KAD83FsNfNdAxfGffTxu8bbi7PpKwk7k7QaSpZUKNVUMsyvvbGpYnbt92++uWdLy78B3/58zXEPpnlLTMJZWYzXIoWDTBbWcS4sFFw1MzC6yeuvPavdh6+ZfeJq5d/6ombn/lj965+FCCIfWFuB6sx2pmODD9uD65ly8Kj7lfZos0wfQ5Xintxy2EaeCJp6p34ar02HSMHduGs0XU86lzKSJAe6jyTmb0VbcYE/4o5xvl8kC7jQd43gJr8uT4PNM2VR5ausey2Bcz0xujDg3v3SDNM1wNylizSilzKJK5I7sIzI8skfZDsfZliVZC2Id5RtDLr0t21CxITWNqvk5I/N6MX7ISkK8BN0exJfAyNCY5L+qyZNyLqOO/zwF+ZbPLPeyoc/wDX+5HItUpzmndi/xk8O5EBv25mr0v66fT7L/9+jvuhBCkNcsEOoaclHne6rxmAzqwVWVIseSNC0LMAQYQNi/uH/+ofvTmEn7h/Is90pdGKrTyTsgitGJsKiplkEitjtCFgRcvsdIyE6Wbr6pOHLi74/PZN+V96fONoNYQJXFktkGMlugf4Cjp4LpOJvbP8zrAmrijG098UPvkO4xOzDzfp7mKurKTNJdmQs99NhqAfNeN5nPFocTpGSX7TKTNYhEarqJ4anso2LuvNgZq8F8QR4NOSzgIPmLFbbrIP4RNtAT7J+3Arowxw3ga8bEaRIM8l9+ZD6R7xe+cgsD0NwIbBMzFaJTjhTi9tyrlWuv8+vP1iJ+L0WeDRSqacNnJ2jkh6RIIY7U3aWZJTQGHGYWmmq9h6UtzCYHdaibcm5bcdt0q3AD9Jm4bgupRrCaRMXBtf7fpuXsVgZn/2gxzzWiiI+VaTbijsfI+hQXvVLiPxBu6X/dhdK99Z1F9ZUhR27OLoZGOwp7aiVdiZLEAABTGEN9odzoKmi2jnWoVNN1p2ZaLVKn7i4XVh1VDPlb5a/kDw1ek8Xn8xlQhSenDLoA/oS5wGBT5RplPEtwCyVBBVgpA6ZQQ3pVcztxlLCw8ydtapVCVtMy9io7si0YzDtNsKljIJMDHd2nXs4uRngZGrE639C/sqn06DazTtO5auYQttl6+Fv4uSzq2GK46XJXaYsQaffIMJ3XoTbpG8Q1upBYBoHMVsAqgIHorGucwb88y4FynnfhmPJ5Qu5SE8aJgnIpnONozz9QbtlnMh6PEEesLMXmV2LUZn86B78AnyGeC3eir8xw9w/I9MxPt3Sr4e5ENxMVL67zV88Ja+a4lDCPjAnQIGUmpvD0Al06WBer67VqkVNy0LnzGzbzSbhRmhmgUpBPUWMVqjsKlmo2gN9FTuDdKQUDWTfWcSrQiZ5St6e1fnISyUWCrYmcA7gzhoq2Jmq3GlUA7u02Y21ijiIXzFH6pmoU/Sfjy//F5ykLYC6KwwfAWodDBqdT0famZ2mASEktpKKh1njxmr8UDjOEBPNXs4iPFqHi4lkpYD6TmWq73hq+1ZfILXmdua75KcR7Lc9kK6v13m3bdW4KjEmU7bchJbBOei2cOCp5BauN8/q+ZGUomHsVSt2/SvZ5TNZdwyaOFl4d0kPaV0jkszs3FJfWY2YW7tlfuNyt27skfqIK6MalyP2Opu0bVFUn4Yci0UxAhtIo9SKa6Ut2ErwTwV2vn+sjZ/Fz65orm/+Knean6AKndKOhvNfqcwsumWBZllrRgHcsJEq7CJWp7Vm0VsCfYLfQ54WdKnB+t5UThN3aoE4GqpbarW0nU0JZUkteAXvhWoVoIkabn5SryZDvPUzEai8UYQS9JK2N28tlNBVKV5gUSlPDo+XVwGTvZWswkztuMRfIWguhl9uBm9HvgdwR5JtbWLe8701vKbmq1YxWnoduITfLfEBmi3o0tyquvzEJ49egeHxA/gymQ7PslSbMgaKQ5Rw62BZ0LQ4xbZWUR7RGbfzoI+Rxta3y3quJbOwqzBdB6j3U9kPpkZlxJL0/sCVzidAdEXJZUVpRclzpgxjCu5/Vzn4kjKH3AFITf1u4NOpbk9jCuCSdoFQGW0PT0ZHRAsSf0oz+MKJo/RBqJZ0VMNQ5cniuGJ6eJorUI+Pt1asri/OtpXq2yIxrEghvH4wt4QwqYAD8QYL0XYr7arc4T2iveHaEfle61NoouclCWobV7fSQLzJKVxczSqMvt6CLOyIOCZgnE8FrHFjJc0tx9lemaq1SrhrRhtysyqyXJ4lXbVZcRjG+8kK+cRgP56ZRo4Ua9mpWLKcSuhjiuo87gbVN53dzwjT+dZi9eenEko143AQ2bslXgIZ+MqY0UXKZm7xZbCkZlLAWK0y1mmXbhi2cL8knX9f0e6ztO0O4Z3u6TluOwEgpHu8Ug614Rm/7Yk/f1LPN715fe4nutKrm/18OHFIMp02Argvo5Iuf/ofAtlf8fVwNtCD5vsAj74Lkq8a9EeGpsuxjJppK8aPlXJQxHIX8MsBOkKaCEe5HsCr6dYAhBCGAye15/VYt7MviPxEnC3pGBmeNcpzySYI/X2ugWvcv9Jp0mYAeaAd+Du9J9HcPP5MVzh7MNb3j+Hx1pixzMpIfjDIaiJD/oXcRejD+fS8LJ1uCfRxJVSw+MLu0lAK1wBB9ydW467Ubfj8ZNZzX3NOImb5C05wW0m8YgZu/GA7DBw3NoTdiw902Ez229QZIF3zCii8Z08U0Vie3JZ9uATtzN+Ut5vtwR8Eq8y42vAWmmm6hSJt1J8ZKYc2myGt7JUCq30V47haeAnrve4Q7dc5wbEhwa1LhFxJUhllhJJdf3D5lTrZRagpMBvGdYPTGdBrw/15BeisTRk4ZVoFJU8PGTQykMoA3FluXNnt63p+e5N0jqpbRL74LO11s7uV4GHDMDsaeBhSZOSiEXca1h/kFqg/tTKrtxvDIev7pLYDjPpwo28h58teNGMVnDW0vLav4VbN53grG7+iUlmA4J2dX42byL0RtrvjDQTWJ3En+8XYIbIp3w/Ga4sStDVK/jqLdw6XGSJbDjdc8OM4VZhh7MgvHiS+xJB7jhuuXRC6nenc5RNk66k5wUeWFxpxkF5D40W7YrRNWZ2NVlRwWZDvw90YFmuAp+r57xvq8TrT/SDzwdRRLuM2W7aqUMLYhR0EX9xzxg2iQOjkFf8BXzg/GF8UuVm3CunbJ/E/fyRTNoUZJPRiHJ0Xj0ELUoksqVrMQB8BR+UU7R5AQrcglmIp/oCXStqkol5viMBvHYWMSpGvhGxPjzKPyCY6nqxZaDwcfMmxeUEL/tRjuMr/6Af28YkncwCy/GV/+10bYG5jOAXcOVZoV1a39mvYgggka2cwJXF03iwtcQ7lBPppLcH1KAZw3KG8El5O7xORbRUYluJT0kyA4M2b1z0CLAgmh0P0jrgvMQT+DsvGb8AvsFshQYwZd6nYxJ3N5ZLswr+Cnnf01tJPTiB9XKIevkMcrxycz3wox8/5fAJyWLEaIuBxzp72ynoUEfkGrxAZzGAwWnMBkEvpe+rZqwEmyiiBTPqwSsgc7xDUwVjOmQsUpqVkiZxUzbHB+Q2/2x75RH27kY+4MrkFTOW4qi9UZy/chKfgDV8Qi0jlXub93J4IwS7vSjstSBNI8blzXkP4pbDFD7JN+Pv/BHz1nyPpRLuJm5O1/yY9jxwG+JHcfLVz3Rc6orUC2IpCXchuF1SmTJ0hGpbxoC7zPgm8Gk80PkSYIizwSHWr848B0yNIraADYIriEOZdCrhGVquvJkCNqfS6bv9+Rl0wHhDYEeM9g1Qj9r1KCfxgOZQuvY30zM35sYSSnLhjbgSn6LDHUwlyYvS+x3EC8/Ag66dvJxfAf5YPeddPqbyAx+kBGTGi2a2LASteY9tZtJhgtNetEQO9iqwuhXtVFHES4UxkQWtCbBVqN98wFoImNBpfLC9KbQVn9SjwOcNO41nFUY11wcu5RA+iTKYCQi8CtyZ3tEFvGHwTJ5e8K6kL0Sz17KgK3Kr5bY0oToJTJ7vOtc2M8Yl+iTWASR36lF8kpdR+XXR7Fl8ct4paQFu8aymHSQc6zhuL20+hXF89R3FrYUMD1iOAhOJzn8CuEPSaTNb1WjF8fK4Bj0YK62jZaHB+UxcBjY6ypq3aVdLzmQPWkU8GaSsmoeHgOfMZpobn5I3P1qLB3VLFvLH8JL+qfRsY9d9NeiKF+EKpBvmXtDuCn8a+B8+zsoBfTIo5xoGFw2s2YrPSNybZ9kYPmDAB+wUbV98Jlhnxp0GC189eeWlDYt6W5U8620V8WKm/J0ssFQwqaAMuF1wVdJ2s5lsSA6sxpuuPIBPvp04Br8sAiqlzJPPiLe9t07+gqPpGg23bF7DV9PREMKSAAuLaAXzWIWJRKX02QPuz0+asYS2yzNu7c7VJZR4acdzGfHr4rI5Qcs63PLoZnC+HYd030Z79X4Tn3SvhqAngBNmtjYaT5nxeFC8WkTehrm4DIkj+Mr8CG3cSinT6f6aE43ird5a/rCZ2fmRxtRAPe+t5lme9hvBYwnP0Z7UZ8tnnlKmn8KV2gtpmyFciUR8rHTjTeZrkbcZd6+GgU/Xc47Os83HRj4RLkYI6pUZoKlGjL0QDpvZxhBUrjwLzJu1juEZh1Kiwc5mETdMNiOFabAxXYyCDfbV8gt4em0THbT46d9RfPVuSDxoRgsfYJ1ZhWPMUhDWNCPOA7EuqzIv4e9rj5xHUpJ2uJlth8yb0vQHQbSZrth+ZFcO99KFsuzwuCaAU2iGAfph5lFYOGHNA5LuERDN9gJ1SSWRjWiXdQ8wO4WZ4bGcAOz069aosKWIZyQtLixuZB6RWC9xU0rLnmT2qr3Zt1HlykRr05WJ1nHcotgEHG0W8aU8aIuc3q+872fS9W3rWBzfwdOTSw1bK69u7VRWnRyYpHvczFw5hD/nH6vnHJrvfj5u8kmwILJUNn0gz0NVyJDeMW8TV6IoS8LSlkHE7FspSFU0W/HSAxsW1kcni2oUP54H7YrRVps/t+MhsFrScwbD8lX6Kj6gtprZJXPlUGYmSv98JfCsmU0aVCzakKHvYNYfxLaOl3IRN1k/Dzwv9ADi2RS8Q6Jm3sh3wMxO4u5LN+PUAeYvPiqlxuyFoolPgJ14bwiAHrlp/y5uMZSYjavMXvVP4xbI250nSKC0M8wme+mXlAuyIsazuOVxLh2/dHFGgsLNho3IU7fNdJxSCmC80YrHcTBZ52gemGwU92ZBr/XV8tG07a34BLZ0DeX19APLDVsBnDRoYjyXrrsssoJ2d66SIX0Kt6LKmMVjwD+p57OIej/Wcn2rh2vXvHcpsDzPQtm1eb+Z3YK/5Are7alcZd4EFki8GiN31CrZKTM+21fLvmnGvhBgvFGs7K/lV3Aug1vMeEEiM7PH5E1pHzezJ80HXpkxOK72/awH1kfjoJndNDrVermvmvVIurcwfjfLGMIDZGvwQXeU1FVLUO18bWb04MG6q8A2wSUzuyJpgZkdSdDfnUAFsztTkdIM47PBU8AStY/3fIr2k5To64KJDkRg2e90EreeztGeaIdxU76s7qTj+1s7PldxF2U6mr2Rql7JgyoG02bsE4xnQb3AZ4QGzew5YEdCtT6DF9zVDS43WrHELZSZlrKBDnJl1xk4TLc9U5xXtvk7JrTSsIr/bhdBEVcOq3GF+GLHvTbwsXIUd6fG0jv4u/yAiHBf9HqWa9l6r3OVHMJXu83AmaKwA61oAWywkoXzWdCjJD5KMzvZLGyqkqkapKsSrb/z5KGjn9m85PIXb122HDhl0c5PF3Gyp5pdpB0crOGxh71AVeg+4EpakQ9Es3PRrAcYrlfCpfHpor9ZWNPgi0sGKqekmYBqSbW2GA/YRzy4N2HGm7gCOUiqa0i4gkPRi4b6cDdlC0Az2t48MCoYkBTNJ8odON/jXiAz4yEzdobADtyCWR+CNpQPLpnoDwt9hjZeoWS8+lS61rIG5Djuj9/EbJejjE3UBI/HaC/g0OM7gnQwmi0P0nAXJ0Ydv9776MwoAJPN4qU8U0qn2nglC3skd5GkWTyUBZ6KvCTvbXEqbbMDIEZ7Kj0zM7FQHuPYgbsOnf1awclgykY9J4B/DTxVz2dxUH7s5TrXD9dUQXQy97QkbTWzl6LZBYNJgbWijZkVm/MsOwZ2NkbON4viLqTjrYIpw5bV8nDlr//QpkUvnrwykWfhdjM7J3GvxHPRGJPZJD5xJhBHhTpTmu/i6bG7BYcFp1vRGtFY0oq23qAy1Js/KemLXfewjnZtRTWVp99Fm7evYDaH3xZ8NesEZxEEzcLWBJHlgQuSHjV/LnvxWMxZ4F1517EZdukYbX+qHi07S5XDppx83fGKJg6QeiRde7ecIQU/JVWrefZIdDr7V4H7g7MYvWbYMTxesx2PlVxgHoIcs1kpyD45o3ZP+3e7iHfVviS1OTbx4GWpuK5K3GLG4Wg2IpCT3GgfjsV4ouu0Pbj1MAg8UM85N899fsxFs3ucXYdyrVyMWSKfqOclDGM6mjWKomhNt2KWZ+FEtCjMGtGoF8bpPGPcHONfMbPaqsHa+lW3LV9fFHG3wZgZvXkIQ/jAX4MPmleEuk3t1XhAbEDSpkza1CyKb1eCltXy8EolD8trefiizc3LgyuHZ3GrpztVOtX5wQc2S3AL4DxpoifsQE80JpvRNmbi60E8IekhcyWxBpgws1OF2VgeQll7cT9t5uvOEdPdoayUBXidyHvJbcyGISO4am1afMxYasYrEp+V2I9Ynxonr6ADazHVLPbTheYUmvm9WVhPEYuDfbUQgL5omPw+x8zdp35Jd+Ip4xGwBRhfxyHdfw7sQaHf67r+07g7cxr4iz+YysHlB96CkLgIPJv4Cb+GT94gkcfIpSxowIyBU2PT5y+NTrc2LO6PWaBazUMWZM1WZLpVWKuIUX21/Gw0smYrPlOYTechlHDcfXkW7sDN0xclNpjNobkDnzRV3GQdAqhXsv4Y7epAT7YxIQYR7DCzZ839+XZJtL0nfdqsoifBHnO/umxdtwe4Iwu6ORa2DLdCnolY3dCxDLsE3CPpuSJafzRbHeBcaHNFgh+vu4eDMb90I0L34C7SUVKPEdr1HwFX4mO0Iczgk++zZvYdM+4NQZdwi2g3ydSPZrslbV3YV10y1Sz2TTSKO4FeaWbcxN5qtk7SHbEMR8NICEzhCu9efLF4AQeg3S3pX/fX9HcBJpp2APi/mfvMv4m/w2XMbgz9AyWe5ry+NcQfPM3pKL+HcWBNCeJ5G+fHe9nMxrKgnhWDPfXeSjh6aayxcrAnvxKUFYYqtTw0CjMy0WgVUVlQD+IcsNzMznqFJeei2bg8WJilLMR52uXMS3Gzv0x1noeZlnLNEPRDOLzXUt0Akh7G7LD5RHnIv+MSDvJ5Aa/IbFm7l+hZADMbFmxV0Azc2YwaMBod7lziGm7PgibMOFoYNwOnY1Fc/e03zqx4bMOSE8v6651w6VL6cOtmQbr+CeAl2mnNATyWUE33XuDT8hZ85T/P7PRip+wDnhEsjJ5B6knX/gjiyRhtQQi6GeN2MzssaRMeLF0CUK9k28x4ZrJZPKq21TgsqdvaGjRjKmVFDiaOiP24K/TrwF8qN+yt6JXJpl1JFcHgFtRfAH6rns/LkP2DJfoEWBC4mb2fdpAL2mbyAklbzOxyLQ/7+mtVhupadfj8eD5Zi5XeahaDGGlFy3sqYbyITleG0ROkqwavZkHVaDZk0apBjEm6AHxZ3lRmBFjv1oQ9Z47AXIybuBvwKHi52tZpd4giNaDZFKRNCZ481RG0a+Ar8n6HhafUHKwSvK6g2+iohzCzt81rUELhK15fFjQt6VGJVTHaU4ZljcJuenz94tO9lSyCnXcTX5fT86rhK+4obeq63bRrM0qEZ3c8olO6y7tnRN4A2AOLZjvNz7lL0hozeyDCASvik9HoMegBey7TbAumVgl3TjaLmGU6V6+Ey9E4ALOg4q9KNFLgsgAaZnZETuP/hXo+Xzcn7U+MVnuAP17Pr2+KuGstnwSo9RraZDD7cOvhOB6DeMiMg9E4Nj7dskoI9aMXx54+Oz7Vtz7v65mcbllvNVucBV1F9NYqoZmCmU1BfyWwEl8ZX0Xch0+iYzinwwHcvN+UYMErgPOGvS1mC0GcnAAAIABJREFUJnpCW87IKZKCAN4wuN/MnhLcD7pgxlF8xZzGGbFWylvRbU6vcU90kNCsDlBy4t0rBmsrmZ6R1Nm/4FgIWg3a3FPVU7Gwi63CivHpVuipZv2VLOxolzTPiY10+v6Gx0juZC66spTJ9/geZvec6JPYhAdOh8H2FdFGMap4yfkEQMtm27+two4A91azsEXSwkw8Eb3nhgGTWdBnpGRdeAr3iMGjYH+rp6L3avX294B/Dlyt5+/pUv1Airh2rfc+LLmWWQxSBWAZed9sxlejWQG2Djh9ZbI5vbi/lgtNTTZbtcIYXNhXmeyt5atD4EiQeppFXBeNU5WMlkmHMTsvGDF4RtJDEn1mPC1npr6Mr6y34YN6VKgcZCW9e+mGLGJ2sPFh4LeBHwEF2v04jwOfw33nVR3bHwUmgtQEdhhWpiCRNCDsFTPWGtyVenPciZvghwULzJVMz3Qr1rOA8ixb2yxsaxZ4M2uzT3VzNHbWJ5SKYxTHRsznojRpM3tFvGx7nC7WJ0kDmFUMnjSsBaoXRRwLQcvUxpVMSTyVkKqGB5BHBAcrmS6YxzMy2qnJ13Aa/nfwjM9lpedjNn/FLEBPZQZq/YmUT0IWYwwv026QcA8Sy814Ei8brl0ea46cG5ka+PLBs5Mjo1PKQmh87tYVU4t6q2OXJ5qVSp5FFWR5bo1W5JxFm44FIa+oB5RJPCw3n3vMOC/x+VQxuZ32AH0OnxS3A29JbGMuLRzAs2bcnZis/gg+sO/o+L2ceKto4xAu4jRyfyiRwAD0m9k3o1suk7SzCgPmk7mRSQ1JXzCPn3wNadOigepYkDbGaGpF+wbY4nTM+0HdE2k+UtcBXFmV1/lMum+lv7IUez/t1OybuNXzihk3ASck3YJZzYxajHZPCNojaRlelbk0iLfyLCBoFGavtwqrDvZUHhrqrdbMbLqIttNmWzuTOGBrezpf1WBKruS6CX1vSJLr3MO4Jp21gryN3iQeoBs0YxAQ2HHBxqHeysRrZ0ZOv3zs8tDF82Pja1YPtcYbrcaygWr/6FRrWTVvnuytZkveGR4bvnnJwFjDooWQx6IwskyLgOUGu1LU/y48Mn+7GQ21W9wPBK+yvES7mfCDeNBviNTNyox+PDBZov868RudRV5VfOU9hLtLpe/fAhC6XdLtYHuj2Ta6ULNynswHDYs4t0GfYHMmnYuRk5J6Kpluk7gpmTzHwArguFCJbZhxJRIAbAoPll5IA+sorqDL5jeGK4unmW1hbAW2Jnj7FB7XuALcl4lv53koDPpitPOtaFbLw6i8G/jdwDO5dE8eZuDZSKohG8OZtPvSvTdxd+6/4FbbgJmNRWMF4vL1Dyr+aOSTYEGcSlH8IeCExOaisG+5nWs3NwprWbRzAz2h8WcfWje9erAejlyezH5h55GbNw7Wz/7sj981EoLyVlEMj0y3smhM9lTzWuZ0bBE3kV/DA17Pgc7gK5IMG8FmiFEmzexTkl6mvfJW8FVuD4AZx/CJs6jj+u/Do//L8NX5QDreJlI8okM5QDc7lsdISrO+lMNBKklbn8EJW0oS1YckjqZntt5shoVqfforDPsGsFKwCUQy89/EFd8GYIMZ35b4IRw1+TSuzI7iVtxDzINPwbM6pfK5gAPadgBHgrQ9ZALiLtquzVu0iWeeBh437AJwLAvajltR4Ep2WuI1M/50X1WT5dOZaNh6NIc894bw8YhB/IGrTSUWeOrQxiQ2p+a0DwArQceBFycarca5kcnWieGJq99++0Lr/rULev/iYxuPXzhx6moQ67Kg/v5ark+tWThZq4R0PBUhKMjZqU8L1UAP4Ka/0qRaavApg63mcYMKvjp+C68efAUnFRlJ11rm1l/quo03Y7SXG63imRhNzKaL7zaP78bjHi+mz8uAk0HaBZzJpKczaZGkV/FVtQRzDePw4T3p2lI2hUfNZlUmZnhwcoukcqJewd2gzvd1V7IqhnEA1CGg18zeNLNRM3vdzN7puvbOEuqTEi/jKdUZWrw8C9slHceDzbfQhm0/jltjdVxpDIC/CEnVIGVBWtRWDi69VR3rrWhWUPeGJJEIH/Dvo5JrYUGsM7NVBmcx+x3QSpzAZQTRAppZhq4OT9YL0/TVicbE2FSj2LZugVb/t49lmdiXSZXovkoUrMpCeNdgfeIjPC/oMbMRHIiFpC+Z8Q18IpVxgrKbUwVfTVen/1/FJ8DTwKdTxqOzryZm9miziGMG9UYRs5pCT0fFZ+7bcEXiZMJK9Jk5E5WkKxkMSdqeEKRbJC0CHjJsDz7hL+PEuDuFtoPtNIdcH8etj0EzRqSZNGUNVwolGGwJqTlux2XnuHJ4C5+0DTMbTYVZiyitJLOnO9K3Ex3/lk2TAZRIYftxxVWTNF+5da/QgGEv4hbOHvN4R9nrZGSefW7I+8h1bkBcs8Y5OTBosFxwTk6OMiRMWcZoPeYx7+9pvHzwvDYt7skuTxSD083G6MF3L7VWDNYXL+hjGmOkXgl1KVxCbBmfbL7VU80KRB7ESGKwdnyC2Tck3Sq0xphhO57EJ9YkXYMfj7gbDoASrjTKfg0WjenCbJmZHTFjcKpZnFjQW1kLWgY0zbt1n2c2qckMjV6pTCRt6HouU7TJWctrAQghuKtQ/mDGPjyekAM7zDhcmL2BW6G5wbQcfLYaz2QsSKddiJe+v2N+vO4xZ358exZXOt/GrYYtuEVR0tqXlHIjzG24U0rDb0I7wL6JK65zwEqDn+3J+eZ77HdD5hF3Ma5vFXEtFETJ9xCEcmC9nIT2pMEFoqbHmy175/yoDfbmS7/24onRb75wVF+4a13xL791MG5aN3T5b/2nt1t/+QtbK/etW1TWD2yMxtuFMR3MIkEVvNHtgxLP4fn5shqzNLtH8Lz+OD55d5IURsrNz5RDd7+TIJ6qZMrGpuKncCtg+VQznuupZpvNz3UuZUX8hr3oqqxWnMSxGYP4BEroRpvAJ+KLeEzkPO6eGJoLE0/H30tCdZrZmBn3Shos87YGrwTssKQsBYaHaFO3LcBdl01dh66Y2ZTNU5Itv68lMEPoM4GXgzfN7OsdLg54yngQj9FMgDZJ9GMWDP4FbqHdkO9Rrm/1cG2yGKOgpfJV7UVgtaTxgFWdVa4Imeh98+JkfevS3nOP3bt2wR3LB66+fvCY/a0/dlecbMRihFA/f2m8UqxeOKTMFoAO9lSz6SAhMSBpEpEBbwWp33yyl6CisjvU2+a1FIeYjTb8Op76ewjPUhzFTfetePAzD0FPZOjJhX2VJ6KBmb0SpAiclTNUl9bIYTyLIDx9urDjOa7XrJB0+0M0O4qn/3ZK7MCUG3YKX8En8cnXaBXxYhHZGURI53+l617uMtgZNIvmfg8QJS00s1foUhDmLNz7mZvunUj79ZEIZFKpeUvicVzplbUbT6vNiAWuDDZAikE4NHqW23ZDPqBc5xriWlDiTQDvmpm1YmyalxUHSZfMaIxONqeeOXzh8oFD5y/+ym8+G37k1iWj/+XbrxdvnJ1o3rFhKXevXhB/5olNzeMjU6NFjCvGp2OriHYkz0JfFlSVtApvLHsleOptTKIHD4ROC90htFGo7I59Lw5Rfh5XIgP45LiAm8Tb8cH9LRwzsQE4koXwOUnVLGhlnoWBEPRFfFXdg0+Io/jkewzm1AlswDkaZsSb7diLZnYEtyDeVkexlNBqoS3AAoxPFdGK6Zb9aCvajmZhS3Dl95iZHZp9XKeXw+MP4DGOEgU6H63/HTabYLeUEwYjXfGYWjrvU7jLMZq+7y4pX9D1+UfmOf4N+QDySQhSBuBWSf/jQFW/dnWq+MlM+rE8C4tDYLgozM6NNVqLh3qLnri4qGUVrVlQL76666DOfHZL5aYVC+KOzYvzHZuX9CIby42QZ+GH8Qa2U8ARMwjSD5vxFYmV+AAewCHe+2mnQ6/inJKdK2xZDdg5SSq4uS+cJ7OEipe8maX7sgmf1AFXPqXM98ZWmPGsNGPK77XUezTtv8KMI2b2hpm9E0I4hSurK4ZdTOlCZ2vSLOThtJmdSrEH8AzCCJ5lmKLdYWpabons9loKAu5GjJlv191Dc0ToUdos2eDK/tl0XVN4tidjdmn5buYqyPkU0A35AHKdGxDXREFUgX+L+6EE6Tei2T0xWi6JBf211kPrF+rY1YnW5kXrs//z3z9PTx7CP/iffvjlTWsXv1GY/lSA+7PAQSmcCIIY7Tieoy994P6UsnvEjAshaCvur+8DlklsTHUMt+EDfEakGStpFHcpHsZZj0ogUSf9+ivM7mpFOk+V2YQx3SsouIJqF3C1yV46rbTDZnaLcyaY4a7R3ZKIZrtnrplZq/qdOAbiHWBNCIzjVtJ+PL4yimdsViWMSI/ark+6GHuuq8jBaMPOH0lYjFzeRu8Afu2v4VbEeT8EL+BWy7aUbdmHK6ZOV+uGfK9ynWuIa6Eg/nRPpb3iDdSCnRie/gfVPPzpPNNd1Sxo9YLe+ON3rK5enWodWLZi4dq//OnNFwbqlX+8eXlv68pE8XA0lk5MNkeHeit1UBURscQpYJYjTeMr+TiwNkYbBrIQtK3jOjLcMtieCohW4f0mRiSdxOMPC/AYRSfrUSdasY4HHs+mZ7MOiNIs5QA+MXbjyqaBT953JdbiAdJL8nZ1Z+VpSAFT5unYd+UkALMIa4Laq3Jq/jMjgnNBrIrGviA9Zk640iPxBTwr0UnZNh+5SrPj31eAJZ5uBVxRDNHm0WzgFsjNeF1KqSRuwvEWT+OYiG24IiuV1w35HsWx8de3hvgDK4hO5VDK2kW1k8DPHb0wdUtfLfvrSJODvdVDffXKL/2/P3n/LPM0SMNZIFo1U1FYQ4GGs5FZwCwD+mKMjRjZkwVGsxB68Gc7bt7kZiEeA5jCV72rgklrB+smcJdhTdrm2/iAFz4JNpvxGq5g1uITrVOBdNPZn1Hq2m3e72FA3jbutq59Tggas+nd7WuGPt2NnjOzqUbLZnAHmk0UcyQE7ZD0asAum/FV4Es4vf0FeWOeTbS7a5dNfDtlCo/HLBXqvLdduLLbRpvpunyfS/GsxTSuMMr4RjlmjuJVmEuAn+WGfO+iT0AtxvvJTUvrbwF/HmDFguq821Qr4WI0CzWFfqGWQcvMWmaELKhmWA/GmizTu5kDkBp4Jec38BXzED54o8RC4A6zWYCdThP/JB57KP35nWY8jvvQJfFJd7Pd5Sm6/2h6mcfNWJpM8jn8jaVIWmvG02acwOf8/fgkfBOvCzmNWy+DwCXrKEuXOipk4STiqmGnEEsMW5BWnUzeNb07tjDGHFGueZrm4FiKu5gdh1BHL9VzfgkUQg/i42VzIt5pAf/ok1aifa3lWuoHSV8AfgFf7H7NzH6u6/c/BfyN9HEM+EtmduD9jvmhKogPImb8G6EmvhKuE/w5SftI1OkyvZUHXQaqOJ5hLTAiByAdx1GEzwCPmlHBG+Ecx62KW5hdk7Cs6/NiiWDGFeZv2Xc5HasFfN2MW2mXMDfTubZIs8qyW3jG5G08hZkKqbTbMKVtL6ZtVuCT07KgkSLazbipX17jvhB0N65E7gF+D7dwpjoCsfvwArYS3DQfJ8Q0rkibuNt0AFec03gV7E2ktLGZjRk8l1KdZ4Fb5c/mNTwG0ZL3E92Cs0P90jznuyEfSK5dd295P9NfxBG7J4HnJf22mXVm197B3/HlRNz8q8C2uUdry0euIHoqFMC/K3XpRNP+EfD3hf6oYQcQj6QVvCegexJyMpP0GO302yIc/rwPuBs0CVbDU51N3BwOeHxgkdlMm/mrOLhI+KS9gscqMtwlGe5wJ3YyO91XwSfmK2asl9Om7cYnch23bjobvNyeUrHVdJ7bgGDYnZLe7KmE9WBT0XjBol1S0AHBejTThGY17vs/DdZnphKaPUQH8tHMmuYr/1V8lTgvJ47tbKbcia0wXNH1ATuLaCaxU9Iv4S7EIuCINJPJeCrd1y3An5hqEeo5/2yeV3tDPoBcQxfjQTwIftSPq9/E6QxmFISZ7enYviRRfl/5yBVEt/RWdGSyyf8GrBJab1gVf44ys12SGomA5lk8aFbBV+N+HPz0PPCA0EV8cAtfIfcBD5pxKe0zhA9yBy+5LKEdu9jN7PTd7XQxRSe5CydZzfCgZac10fn6L9HOfpzH4xSLhQaYyZDopSzwiEmdHBVTeKp0wrBngC8Z7BX0mzEmzeAhSjE8BrE8VYFOpTqZ53BlWcLQC4mq/H5quJu2ycyOR+PP9NfC8ETTNgI/l2De4BbEfbhFM4XHapbADQXx+xHxPbkYSyS90PH5V83sVzs+l20TSjnJ+1sHP0WqbXo/ue4UBEBPhTcmGnYFGJeUy+nR3sEHfr+kYTOW4/0oK/jA3ygxlCoc6/hk/I40A+JZi1sL7+KUdaW8F1is5LUspZyIPfiL2NrxW1lW/iyzIc2dbssm2oVlW/BVuzMAOkw7/jGIYx0OACslPg2UZd/pGmwQlJlx6H1WodMwE8QspeS2PGnGu+bl5wAnY+QFxH8Yqmflvf5b3LXYhLNPL+rYv1SEv/ieZ78h310+uIa4aGb3v8/v8x1p3viQpE/jCuL9+E2B61RBABhMYmYSNwFvge71f6niK9defGXdjscgLphxBFcWz9Nmo96JWwsTuAVQxX3r0jqY1fMiHXOEObyP1jAHCO1PnJdfw+MgnbyR3TUWW9P5QzpeZ4XkatodwR/C04tl9uFd4JYUB/CzezVrWXp9FbQfV0oPl1yWaaLPBDhxpboOIEZ7Rd7tam3ye9fgqdlSxsF+erCeHSm/6K3oJHByqkXArZwl6fkcxqs+K/izviG/T7mGac6TtAvuwN/v6Tnnk+4Cfg34opl195mdI9evgjD7Fwb/NEYbz4Oq+KA0eZ/PF/DBesqMt+UYgqX4xC87bZVELAB7zXiENn/lu7QVxCK8hqSOD/gzpBLsdA7M7DXzyX5RqXeExBfNeJ42AzX4ZDyET8xlEhGHWcdUHv5G2i6mv+l03m/himZR+rea4OSd8irteooMd0FKRbeDMsjY5eI45JuXWtEWAysq2awO5zONeczs2f5aOMI8Us+JUy2+jLsSpRJ8EufguA1maPhuyPco1zAG8Txe7bsRx/L8CeBPzj6X1uGMXz/RDeF/L7luFUQWwlfN7HOJy2AdrgBexYNvfxg38x/Ci7Sa6UGXcOiSoxEAM5s049vAE5ICbeBQIx0vMntiDabvx814BSdgHQbGQMvKlV3iATP207ZCKrj7UE/XXLoFY3j0v+z1WUpproNP8DHgno5BcygdD/PrOU0JAHN36nXaim5HqsfoTfc83mhZP+5WlRRzr+ETOjcz64ygS/q17nfQJb+FuxngCu0P430ufmmqxdd+kLtffWhyDXEQZtaS9DN4cWIG/LqZvS7pp9Pvvwz8bdyt/aX07lvfxW25fhVETwWbbOp/waOwLby6cBEwaGYnQEP4RLwPtxBGSCAfM3sB7xWJf6aCT8yLZnZA0jZ88vXgZrtwwFV3X4kI5KCBTnO/U+S9KHd2fX0MWJeUy1bc1Zk0Y1qelRjB3Z7SPWngE797kpXgpd1B+pJ5P4tValPmbcLdrpK16kT6jujuVmfv0DeA24poL0rEGG1ZCDadhfCWnBKuM8I9nzxG23r43XpOa6rFnwX+IQmOfUO+d7mWSEoz+yrw1a7vfrnj/3+ehEv6oHItqjk/NOmpMA78z+njlMRGvOT5ONhbtBXcZby+4gt49mGdwRozK4N65VtYAjMl4Rsk1kozLErHO89tNtO2bhrYmFKtB5if96DAcQ+lZMDxVAdSmt89wGeSJTOIu0kTeCxlGo9PzKSdvIyeAVz5lEQ12+Sm/ZW033HcGtqL12ZkrSKe9P3NzKyTYm4xTo7zSBHtMYN6FsLaIFYJfqq3onkDWgBTLXLg39OGY+8Fdz3qOa/cAEv9/kSk9NwH+Puo5Lq1IDrkt4CfwVewUqHJ4H6wk3j68BahMoB3p6RXzKzHjLcktkszrNAXJfqlWRmIMvXYTbG2LzFgr8F5ITr5FLqp8nMc0VhmMSJuRfSn4z+Lr77nXzo53Aoh7L5t+cBkNc+24sqthDFnwJVUMLXFjIsdKVgkjeNWwRIzvoNP+lvTfpjZxHTLQqNVPGde9dnIZXuzEBZEJ6A5Dd5Fu5qHycyL3k6la31PSdbC3wb+OvDX6vkPbr/M77dc50jrj4WCKJuzzKxSchr8q7Sp0p7CJ+V5YIuZbQBORWOSaEdoZwdOSLq349gTtBmwh5ndPLdBBxYhZQoeT1ZBiasYpM1UFXDl8CIOltoPrE2ByjvwwOjDywbqOy+OT+eVLNyJm/0L8ViE4QplLf5eQgc4qZTFODy8gSPmxpg9xoaB0Woe6mAXGy07lmfh9iCtCMZL0RgpYnwhSNNmNt1oWcyChiV6QeO8j9RzfgX4lffb5ob8PuQ61xAfBwVRIQ38tAJOgNbiiMo/AkzIV8W9if0J4GCMFMDno4Hg6yEwzNw05DBtBVEGLkvzvnNybsVX+Qu4sunF8QwF7gI0O7Yt/f4q7tLswt2LaWDnqqGe+qqhnqakY7iiOUmbf2GmazZtoNOFlLkZjzG+m1izJiV9FXE3HncYT/sXvdVwv7NEiSywC1hhZs9Nt+KoGZ8BhkPGq9H4IeBiEY3Benhf5XBDPjz5JHBSftgyjq/m6/HMwB6cRm0j8DWDWyTdREpvRrPnzPgU7p+/DNzTLIrpirJlWdCGjuPuwoOApd+/nHbjnNfSdwXtrEMxT3FWhlsAF+a57kb6247XUHweuCVI38Lp6bcBb3rzHb6BK5TMjAdoA7SOS/ThSmBhNPrMnB0rE2/jWIr2NWlO0Cszsz1mPFzNwmQIvAyEGK1SRNvj7pb+BjfkI5PrWz1c50FK8GwG8NfwyP9R4E6JlZLukvRFeXVkW5xCLfOApl0xs13RWDHZKBa1ivgUHmR8Fa9rCOnzbjzw9kYqp67jwcwWbazAqlSZ2Sm7cRxExYwzXb/toA1U+YIZXzdjpxnBzBYavG7wlhlv4UpmBx6veB13NS7g8ZUqrqQqeA0JcuXwXXtNmNklMzbg1JGvS7oHdBNo2sy+bMbDg/Xwe9/tODfkQxR9wL+PSD4OFgQ9Ff7dZJN/j6fwtuMw0bJxbmeXrAOIwxiPmNk5M24BVkbzQGCipd/Qsf00zEpf7pRYmlyMy/jkL+nd+hLvQ6cUMFPZWUmZjgLHMgziwb8NKQV7K24FPWUeGLwNj02cMSNPlma/xIakpFYlopqSP2OLuUsU5cd5/36XxgHBZ8xjJeNmVMxsr9BoFjQyUM///vvuf0M+dPG5f33bEB8LBQEzVZ9vpb//Z6rFZ3Cy1Angd4D/UM85DGK8Yb9hxn+HxygQXJXYHzSrrwXMXYVz4IE0WXfiLsShFAu4iLslgTYK8om0XwWPN5S1FxcT2/Rm4KCEUvzkJO52lJbbs4Y1gCuYlklcAY5JLMBjCsdpZ0R24C7Ri5LuBzKMl/DiqxZuddyGozhHgSlJ1Txwr6SFANHsmxh3A/snGpb1VtXNLXlDvp/ySSeM+TClnvMtHNE3R/qq2gXaNToV/3sz+2GDv5NJjxWRl7Jg2xKaEuaSr8aO/9+NT9JJeR+LW7u2fZM2b0MTdwkaeAyjU1kcMeP2lGp9K5otnphunq3n2ZsK4UoQVxEHDPthMzKhisQkHhhdDWBmC8zxDw9KM3DtFcyuNn0SV0CzrtOMV8ysIvGIoM/EQoxexC8CPz3f87sh3z+5zvXD9R+D+IPIQD0Ugz3ZlyuZ9kmqF9EeoKM/ZWKSLuVpfOU13FI4jsO7e5jd7Bc8PTmDpUgVpYtTEPN1ZjNgP45jG6oSy2OMl6YasYlbNH+ht6qf7K3o5+UWyhZ8zNToCD7GaK8VhX0Op8h/r9jD3cwfl9gBLEg9NB+Wu0v9wJcmmpbNs/0N+b6Jyt6m3/Xvo5KPrQXxvYjQVw22BFExo2Vmy3HQVPnkDccfHMORj9s7dn8QR1B28jxenXMOzVDW35kKs55L+x7BQVQ7zfj5gXr2X0MIg8Bob7WNXpR0Gee4XI5bAiVdPtZp6YhgZiOSumHhy2EONwTAKWmGgm+PE+LagwbPyTM47wuSuiEfrlzvLsYPtAVRymBP+HIl0x/Pgr6Cr6hb8cxAWSV6kDbx7a3Af8XRm/8QjzXcRdsqmGAuD+QsSZWY6/HVehCHdleA3wXoq2qkrzoH2rxJwiRO4LGNeVvZmfFotDndyUsZ6vo8IjEpZwU/iRfnNFLg0roqP2/I91k+aALjo9QhnwgLAqC3qvMTDft7eBlsWaJ9CQdE9eFlsP8f8OP1vE38OtXiq7jCmMTTkfOxRs8nwziyMwL/CvgnPZX3TU0uT9fylXSONfhEruExjhMkaj2cB/N42m4S76c5gb/Po7jiqwFnEpFpSRizCK8B2Y5nZz5Qye8N+RDlOrcgPjEKAqC3qjjRsH149WMNX+XLismfqudc6d6nnvOdqRbLcMKUTWnfe/DCsPcUiVvNOAx8oacyh5RmPvk/gP+MV3Vexif6ZwHyrG3omVkBnO2CjCPRxBVSJ5irOy3bi8cqjuH3vgbmYDtuyPdRrvc05yfCxeiS/xUvef152vr73fmUQyn1nOl6zu56zm/Uc/4m8N8Af5O5WZAZSfHPFz6gcsCMA41W/GYRrQ9HjM7pAG5mZ4E9Nk8MBHdhjnZ9N9K9kaQheV0I+H3ckI9QblRzXmfSW9UF4N8A/2aqxQrgL+AFVh9YUifrn5tqsQn4M3ic4p/idRiP4i7B7+DUXh9UpltF7J2YjleHeitIusOM84YdFOSpOvNmPLX5XjRvo12fx2jzXj6NB2Pvoa0YH03XfUM+CtH/3979hMZVRXEc/543M8lMNLGlVdCoUCQgNHXhQlyIIgWxLnTtRnBTREREXLhwI25ciQj+oYvWJf2XAAAEKklEQVQudNONm6JiXEhtuxBsYlW6aAi1SNukItSYNE07k3dcnBkyCXnJJE363iS/TwjMMJfLWx3uve/cc2B5E6Wi2XEBol21zBTwwW1McYGoh/lRtcz38w2M2CJMNRO7OnazvjBVX/CB1BlOnb9LkXsxCjzkcabQfjBaX2GKU8R9j/YmOK0eGdeICuA1YvXROgv5Zz3PKFuh2BFiRweITfAh8HW1zHmAZuGUyxuZaFdfqXHl34XTwPD0XH3PQK18qpQk9xo27PgJIgnrLuJWaXuAqBNBIbIr42xhHqi6+xyR0HUL2G9mrxN3Tg4Sh6FHN/KssjlaBWOKTAHiNlTLpETq92Z5MzG73l8rH0yiFmfLPTRrUxiMtyXOTLKYht0ySLy23QfUfTGh66tamc/jo2W9JpU7rODxQQGiSB7Y1VMH3rlR5wCxVam4+wHgOYxZYNzhUYutzWVixdBaQfSyWJ1qL3Dalx6irnSwKTnTCkLWrVbhD+JKOmDfzN5MRxqN9L2eSulFiy5eZSJD01m6eviJxW5Kjxj86M2+pSy+uZACyTONuhM78TVn17m7NxkDG0tTP0EkXrWCQHttTWdZZ/JmQ9eUWEn8cAceVdZJmZSyKUol+9hgP9gQsY0wd59zZ5w4lPwzSew+4m1Gqy9IwyKn4lr0NJUiyTvHoRNaQXSJ/t5kNkmSt4CT7swT5w/XiRugjwF73HF3hohtx9MxzjCzeZaW5ZeCsA7/8qIVRBepVbgKvD0zvzBTKiXP4vzl7g8DNTPrBYbc/VfigthZYssx4c5MrWLpKlNLXgq+glCA6EKNlIuO707MnvIIBGkpmumMAvVmybwBYNJh0ozPcn1gyVTw+KAA0aV+w/0iZsPAf+7+DGYn3dNzZjbuzuEksYo7V/sqqKR9YZnK3suWOIvZmTT1uRv1xnSS2LdWtmP91UQ3M7uIMillS+zuK6XA+wADtZ41RotsnAKESI60ghCRTEUvGKMAIZKXLkiUUoAQyYkOKUVkVdpiiEimoq8gdBdDJEebeZvTzJ43s/NmNmFm767wu5nZJ83ffzezx9eaUwFCJE+bFCGaV/s/BQ4R7Q5eNrPlbQ8OEQ2lh4DD0Kowlk0BQiQnBiRmHf134Algwt0vuPst4BjN7vZtXgK+9PAz0bP1/tUm1RmESE7GxkZHahXbu/ZIAKpmdqbt+xF3P9L2fZClTZAusVhYaLUxg0Rt0xUpQIjkxN1X7c62TistM5b3f+1kzBLaYohsD5eIDvUtDwJXNjBmCQUIke3hF2DIzPaZWQ/RpPr4sjHHgVeabzOeBKbdPXN7AdpiiGwL7t4wszeAEaIc4VF3P2dmrzV//wL4DngBmADmgFfXmtfcV92CiMgOpi2GiGRSgBCRTAoQIpJJAUJEMilAiEgmBQgRyaQAISKZ/gcQJLziMiGz+wAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "import geopandas as gpd\n", "import matplotlib.pyplot as plt # Graphics\n", "\n", "filename_hist = 'data/nhgis_ppdd_blck_grp_oh.csv'\n", "df = pd.read_csv(filename_hist)\n", "df['BG'] = df['gisjoin'].astype(str).str[1:3] + df['gisjoin'].astype(str).str[4:7] + df['gisjoin'].astype(str).str[8:]\n", "\n", "filename_gdf = 'data/tl_2010_39_bg10.shp'\n", "gdf = gpd.read_file(filename_gdf)\n", "\n", "df['black_sf'] = df['H72004_sf'] / df['H72001_sf']\n", "merged = gdf.set_index('GEOID10').join(df.set_index('BG'))\n", "fig = merged.plot(column='black_sf', legend=True, cmap='Blues')\n", "fig.set_axis_off()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The percentage obtained from the SF1 data is then compared to the percentage obtained from the differentially private version of the data. To measure their differences, we calculate the symmetric mean absolute percentage error (SMAPE or sMAPE), where a SMAPE close to one indicates a larger difference between the two. The map below demonstrates that the differences caused by the privacy protection system are not spatially invariant. n some areas, the value of SMAPE can reach one, implying significant error and thus substantial utility loss." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df['diff'] = abs(df['H72004_dp'] / df['H72001_dp'] - df['H72004_sf'] / df['H72001_sf']) / (df['H72004_dp'] / df['H72001_dp'] + df['H72004_sf'] / df['H72001_sf'])\n", "merged = gdf.set_index('GEOID10').join(df.set_index('BG'))\n", "fig = merged.plot(column='diff', legend=True, cmap='OrRd')\n", "fig.set_axis_off()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We compare the same set of percentages at the county level in Ohio. The map below shows the percentage of Black or African Americans from the original SF1 data." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "import geopandas as gpd\n", "import matplotlib.pyplot as plt # Graphics\n", "\n", "filename_hist = 'data/nhgis_ppdd_county_oh.csv'\n", "df = pd.read_csv(filename_hist)\n", "df['COU'] = df['gisjoin'].astype(str).str[1:3] + df['gisjoin'].astype(str).str[4:7]\n", "\n", "filename_gdf = 'data/tl_2010_39_county10.shp'\n", "gdf = gpd.read_file(filename_gdf)\n", "\n", "df['black_sf'] = df['H72004_sf'] / df['H72001_sf']\n", "merged = gdf.set_index('GEOID10').join(df.set_index('COU'))\n", "fig = merged.plot(column='black_sf', legend=True, cmap='Blues')\n", "fig.set_axis_off()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At the county level, the overall difference between the percentages from the SF1 data and the differentially private data decreases." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "df['diff'] = abs(df['H72004_dp'] / df['H72001_dp'] - df['H72004_sf'] / df['H72001_sf']) / (df['H72004_dp'] / df['H72001_dp'] + df['H72004_sf'] / df['H72001_sf'])\n", "merged = gdf.set_index('GEOID10').join(df.set_index('COU'))\n", "fig = merged.plot(column='diff', legend=True, cmap='OrRd')\n", "fig.set_axis_off()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Additional Resources\n", "- [Understanding Differential Privacy](https://www.census.gov/programs-surveys/decennial-census/decade/2020/planning-management/process/disclosure-avoidance/differential-privacy.html)\n", "- [Disclosure Avoidance Webinar Series](https://www.census.gov/data/academy/webinars/2021/disclosure-avoidance-series.html)\n", "- [2020 Census Data Products: Data Needs and Privacy Considerations](https://www.nationalacademies.org/our-work/2020-census-data-products-a-workshop)\n", "- [The 2020 Census Has Thousands of Errors Added on Purpose](https://www.nytimes.com/2022/04/21/us/census-data-privacy-concerns.html)\n", "- [Special Issue 2: Differential Privacy for the 2020 U.S. Census](https://hdsr.mitpress.mit.edu/specialissue2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## References\n", " Abowd, J. M. (2018, July). The US Census Bureau adopts differential privacy. In Proceedings of the 24th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining (pp. 2867-2867). " ] } ], "metadata": { "interpreter": { "hash": "919adcb6228f4c1814dc7795e2ffcd9a8de1cd95be3f29f3d468acc1c3136f89" }, "kernelspec": { "display_name": "Python 3.7.5 64-bit", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 2 }